1074886560 has 432 divisors, whose sum is σ = 4182796800. Its totient is φ = 250905600.

The previous prime is 1074886543. The next prime is 1074886613. The reversal of 1074886560 is 656884701.

It is a happy number.

1074886560 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 8 + 86 + 560 = 666.

It is a super-2 number, since 2×1074886560² = 2310762233737267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5401341 + ... + 5401539.

It is an arithmetic number, because the mean of its divisors is an integer number (9682400).

Almost surely, 2^1074886560 is an apocalyptic number.

1074886560 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 1074886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091398400).

1074886560 is an abundant number, since it is smaller than the sum of its proper divisors (3107910240).

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

1074886560 is a wasteful number, since it uses less digits than its factorization.

1074886560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1074886560 is about 32785.4626320874. The cubic root of 1074886560 is about 1024.3637725298.

The spelling of 1074886560 in words is "one billion, seventy-four million, eight hundred eighty-six thousand, five hundred sixty".