90616872 has 64 divisors (see below), whose sum is σ = 238049280. Its totient is φ = 28690112.

The previous prime is 90616859. The next prime is 90616891. The reversal of 90616872 is 27861609.

It is a super-2 number, since 2×90616872² = 16422834982128768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90616872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91693 + ... + 92675.

It is an arithmetic number, because the mean of its divisors is an integer number (3719520).

Almost surely, 2^90616872 is an apocalyptic number.

90616872 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90616872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119024640).

90616872 is an abundant number, since it is smaller than the sum of its proper divisors (147432408).

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

90616872 is a wasteful number, since it uses less digits than its factorization.

90616872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 90616872 is about 9519.2894692829. The cubic root of 90616872 is about 449.1620157939.

The spelling of 90616872 in words is "ninety million, six hundred sixteen thousand, eight hundred seventy-two".