90507528 has 24 divisors (see below), whose sum is σ = 245124750. Its totient is φ = 30169152.

The previous prime is 90507523. The next prime is 90507551. The reversal of 90507528 is 82570509.

It can be written as a sum of positive squares in only one way, i.e., 81757764 + 8749764 = 9042^2 + 2958^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×90507528² = 16383225249341568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 90507492 and 90507501.

It is not an unprimeable number, because it can be changed into a prime (90507523) 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, 628453 + ... + 628596.

Almost surely, 2^90507528 is an apocalyptic number.

It is an amenable number.

90507528 is an abundant number, since it is smaller than the sum of its proper divisors (154617222).

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

90507528 is a wasteful number, since it uses less digits than its factorization.

90507528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257061 (or 1257054 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 90507528 is about 9513.5444498883. The cubic root of 90507528 is about 448.9812807278.

The spelling of 90507528 in words is "ninety million, five hundred seven thousand, five hundred twenty-eight".