90504680 has 64 divisors (see below), whose sum is σ = 238170240. Its totient is φ = 30304512.

The previous prime is 90504677. The next prime is 90504683. The reversal of 90504680 is 8640509.

It is an interprime number because it is at equal distance from previous prime (90504677) and next prime (90504683).

It is not an unprimeable number, because it can be changed into a prime (90504683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8282 + ... + 15798.

It is an arithmetic number, because the mean of its divisors is an integer number (3721410).

Almost surely, 2^90504680 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 90504680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119085120).

90504680 is an abundant number, since it is smaller than the sum of its proper divisors (147665560).

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

90504680 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (90504679) it forms an eRAP, since the sums of their prime factors are consecutive (7577 and 7578).

90504680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578 (or 7574 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 90504680 is about 9513.3947673793. The cubic root of 90504680 is about 448.9765713144.

The spelling of 90504680 in words is "ninety million, five hundred four thousand, six hundred eighty".