90456192 has 96 divisors (see below), whose sum is σ = 262189980. Its totient is φ = 29933568.

The previous prime is 90456187. The next prime is 90456193. The reversal of 90456192 is 29165409.

90456192 is a `hidden beast` number, since 9 + 0 + 4 + 561 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 6843456 = 9144^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×90456192² = 16364645342281728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90456193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268248 + ... + 268584.

Almost surely, 2^90456192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90456192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131094990).

90456192 is an abundant number, since it is smaller than the sum of its proper divisors (171733788).

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

90456192 is a wasteful number, since it uses less digits than its factorization.

90456192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 90456192 is about 9510.8460191510. The cubic root of 90456192 is about 448.8963770640.

The spelling of 90456192 in words is "ninety million, four hundred fifty-six thousand, one hundred ninety-two".