1055685312 has 392 divisors, whose sum is σ = 3657947472. Its totient is φ = 301086720.

The previous prime is 1055685307. The next prime is 1055685331. The reversal of 1055685312 is 2135865501.

It is a happy number.

1055685312 is a `hidden beast` number, since 10 + 55 + 68 + 531 + 2 = 666.

It is a super-2 number, since 2×1055685312² = 2228942955945074688, 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 (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 62099128 + ... + 62099144.

Almost surely, 2^1055685312 is an apocalyptic number.

1055685312 is a gapful number since it is divisible by the number (12) 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 1055685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828973736).

1055685312 is an abundant number, since it is smaller than the sum of its proper divisors (2602262160).

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

1055685312 is an frugal number, since it uses more digits than its factorization.

1055685312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 1055685312 is about 32491.3113308774. The cubic root of 1055685312 is about 1018.2275099007.

The spelling of 1055685312 in words is "one billion, fifty-five million, six hundred eighty-five thousand, three hundred twelve".