90755712 has 48 divisors (see below), whose sum is σ = 261162330. Its totient is φ = 30251520.

The previous prime is 90755711. The next prime is 90755713. The reversal of 90755712 is 21755709.

90755712 is a `hidden beast` number, since 90 + 7 + 557 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (90755711) and next prime (90755713).

It can be written as a sum of positive squares in only one way, i.e., 87160896 + 3594816 = 9336^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (90755711) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38239 + ... + 40542.

Almost surely, 2^90755712 is an apocalyptic number.

It is an amenable number.

90755712 is an abundant number, since it is smaller than the sum of its proper divisors (170406618).

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

90755712 is a wasteful number, since it uses less digits than its factorization.

90755712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78801 (or 78786 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 90755712 is about 9526.5792391603. The cubic root of 90755712 is about 449.3912955094.

The spelling of 90755712 in words is "ninety million, seven hundred fifty-five thousand, seven hundred twelve".