90525456 has 120 divisors (see below), whose sum is σ = 298980864. Its totient is φ = 25021440.

The previous prime is 90525451. The next prime is 90525467. The reversal of 90525456 is 65452509.

90525456 is a `hidden beast` number, since 90 + 525 + 45 + 6 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 90525456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90525451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29800 + ... + 32696.

Almost surely, 2^90525456 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 90525456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149490432).

90525456 is an abundant number, since it is smaller than the sum of its proper divisors (208455408).

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

90525456 is a wasteful number, since it uses less digits than its factorization.

90525456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 90525456 is about 9514.4866388051. The cubic root of 90525456 is about 449.0109239525.

The spelling of 90525456 in words is "ninety million, five hundred twenty-five thousand, four hundred fifty-six".