1661748300 has 216 divisors, whose sum is σ = 5548613616. Its totient is φ = 414535680.

The previous prime is 1661748299. The next prime is 1661748349. The reversal of 1661748300 is 38471661.

1661748300 is a `hidden beast` number, since 1 + 6 + 617 + 4 + 8 + 30 + 0 = 666.

It is a super-2 number, since 2×1661748300² = 5522814825105780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4788727 + ... + 4789073.

It is an arithmetic number, because the mean of its divisors is an integer number (25688026).

Almost surely, 2^1661748300 is an apocalyptic number.

1661748300 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 1661748300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774306808).

1661748300 is an abundant number, since it is smaller than the sum of its proper divisors (3886865316).

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

1661748300 is a wasteful number, since it uses less digits than its factorization.

1661748300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1661748300 is about 40764.5470967114. The cubic root of 1661748300 is about 1184.4636786821.

The spelling of 1661748300 in words is "one billion, six hundred sixty-one million, seven hundred forty-eight thousand, three hundred".