90618516 has 36 divisors (see below), whose sum is σ = 230536852. Its totient is φ = 30011904.

The previous prime is 90618511. The next prime is 90618529. The reversal of 90618516 is 61581609.

It can be written as a sum of positive squares in 2 ways, for example, as 8643600 + 81974916 = 2940^2 + 9054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90618511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2365 + ... + 13668.

Almost surely, 2^90618516 is an apocalyptic number.

It is an amenable number.

90618516 is an abundant number, since it is smaller than the sum of its proper divisors (139918336).

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

90618516 is a wasteful number, since it uses less digits than its factorization.

90618516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16200 (or 16195 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 90618516 is about 9519.3758198739. The cubic root of 90618516 is about 449.1647320573.

The spelling of 90618516 in words is "ninety million, six hundred eighteen thousand, five hundred sixteen".