90553815 has 96 divisors (see below), whose sum is σ = 187441920. Its totient is φ = 41126400.

The previous prime is 90553811. The next prime is 90553817. The reversal of 90553815 is 51835509.

It is a happy number.

90553815 is a `hidden beast` number, since 90 + 553 + 8 + 15 = 666.

It is not a de Polignac number, because 90553815 - 2² = 90553811 is a prime.

It is a super-2 number, since 2×90553815² = 16399986822108450, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 90553815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90553811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429060 + ... + 429270.

It is an arithmetic number, because the mean of its divisors is an integer number (1952520).

Almost surely, 2^90553815 is an apocalyptic number.

90553815 is an abundant number, since it is smaller than the sum of its proper divisors (96888105).

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

90553815 is a wasteful number, since it uses less digits than its factorization.

90553815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 90553815 is about 9515.9768284712. The cubic root of 90553815 is about 449.0578064241.

The spelling of 90553815 in words is "ninety million, five hundred fifty-three thousand, eight hundred fifteen".