93661056 has 128 divisors (see below), whose sum is σ = 283600800. Its totient is φ = 30412800.

The previous prime is 93661021. The next prime is 93661063. The reversal of 93661056 is 65016639.

93661056 is a `hidden beast` number, since 9 + 36 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×93661056² = 17544786822070272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 93661056.

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 15 ways as a sum of consecutive naturals, for example, 141366 + ... + 142026.

Almost surely, 2^93661056 is an apocalyptic number.

93661056 is a gapful number since it is divisible by the number (96) 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 93661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141800400).

93661056 is an abundant number, since it is smaller than the sum of its proper divisors (189939744).

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

93661056 is a wasteful number, since it uses less digits than its factorization.

93661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 93661056 is about 9677.8642271939. The cubic root of 93661056 is about 454.1364387741.

The spelling of 93661056 in words is "ninety-three million, six hundred sixty-one thousand, fifty-six".