90615096 has 144 divisors (see below), whose sum is σ = 290333160. Its totient is φ = 25309440.

The previous prime is 90615089. The next prime is 90615097. The reversal of 90615096 is 69051609.

90615096 is a `hidden beast` number, since 90 + 61 + 509 + 6 = 666.

It is a super-2 number, since 2×90615096² = 16422191246178432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90615096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90615097) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133510 + ... + 134186.

Almost surely, 2^90615096 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 90615096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145166580).

90615096 is an abundant number, since it is smaller than the sum of its proper divisors (199718064).

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

90615096 is a wasteful number, since it uses less digits than its factorization.

90615096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 90615096 is about 9519.1961845526. The cubic root of 90615096 is about 449.1590813994.

The spelling of 90615096 in words is "ninety million, six hundred fifteen thousand, ninety-six".