1300561920 has 510 divisors, whose sum is σ = 5423980122. Its totient is φ = 297271296.

The previous prime is 1300561919. The next prime is 1300561939. The reversal of 1300561920 is 291650031.

1300561920 is a `hidden beast` number, since 13 + 0 + 0 + 561 + 92 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1040449536 + 260112384 = 32256^2 + 16128^2 .

It is a super-2 number, since 2×1300561920² = 3382922615508172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 185794557 + ... + 185794563.

Almost surely, 2^1300561920 is an apocalyptic number.

1300561920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711990061).

1300561920 is an abundant number, since it is smaller than the sum of its proper divisors (4123418202).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1300561920 is an frugal number, since it uses more digits than its factorization.

1300561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1300561920 is about 36063.3043411166. The cubic root of 1300561920 is about 1091.5501105350.

Multiplying 1300561920 by its product of nonzero digits (1620), we get a square (2106910310400 = 1451520²).

1300561920 divided by its product of nonzero digits (1620) gives a square (802816 = 896²).

The spelling of 1300561920 in words is "one billion, three hundred million, five hundred sixty-one thousand, nine hundred twenty".