90734976 has 96 divisors (see below), whose sum is σ = 264669600. Its totient is φ = 29832192.

The previous prime is 90734971. The next prime is 90734983. The reversal of 90734976 is 67943709.

90734976 is a `hidden beast` number, since 90 + 73 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90734971) 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, 90510 + ... + 91506.

It is an arithmetic number, because the mean of its divisors is an integer number (2756975).

Almost surely, 2^90734976 is an apocalyptic number.

90734976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132334800).

90734976 is an abundant number, since it is smaller than the sum of its proper divisors (173934624).

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

90734976 is a wasteful number, since it uses less digits than its factorization.

90734976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 90734976 is about 9525.4908534941. The cubic root of 90734976 is about 449.3570670387.

The spelling of 90734976 in words is "ninety million, seven hundred thirty-four thousand, nine hundred seventy-six".