90174816 has 48 divisors (see below), whose sum is σ = 263012400. Its totient is φ = 30057984.

The previous prime is 90174793. The next prime is 90174829. The reversal of 90174816 is 61847109.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51321 + ... + 53048.

It is an arithmetic number, because the mean of its divisors is an integer number (5479425).

Almost surely, 2^90174816 is an apocalyptic number.

90174816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90174816 is an abundant number, since it is smaller than the sum of its proper divisors (172837584).

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

90174816 is a wasteful number, since it uses less digits than its factorization.

90174816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104388 (or 104374 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 90174816 is about 9496.0421229057. The cubic root of 90174816 is about 448.4304430112.

The spelling of 90174816 in words is "ninety million, one hundred seventy-four thousand, eight hundred sixteen".