1060684800 has 264 divisors, whose sum is σ = 4008451776. Its totient is φ = 242319360.

The previous prime is 1060684769. The next prime is 1060684829. The reversal of 1060684800 is 84860601.

It is a super-2 number, since 2×1060684800² = 2250104489902080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536614 + ... + 538586.

Almost surely, 2^1060684800 is an apocalyptic number.

1060684800 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 1060684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004225888).

1060684800 is an abundant number, since it is smaller than the sum of its proper divisors (2947766976).

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

1060684800 is a wasteful number, since it uses less digits than its factorization.

1060684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1060684800 is about 32568.1562265966. The cubic root of 1060684800 is about 1019.8323446089.

The spelling of 1060684800 in words is "one billion, sixty million, six hundred eighty-four thousand, eight hundred".