90782874 has 96 divisors (see below), whose sum is σ = 254916480. Its totient is φ = 22674816.

The previous prime is 90782831. The next prime is 90782891. The reversal of 90782874 is 47828709.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29664 + ... + 32580.

It is an arithmetic number, because the mean of its divisors is an integer number (2655380).

Almost surely, 2^90782874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90782874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127458240).

90782874 is an abundant number, since it is smaller than the sum of its proper divisors (164133606).

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

90782874 is a wasteful number, since it uses less digits than its factorization.

90782874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 90782874 is about 9528.0047229207. The cubic root of 90782874 is about 449.4361233539.

The spelling of 90782874 in words is "ninety million, seven hundred eighty-two thousand, eight hundred seventy-four".