90192640 has 72 divisors (see below), whose sum is σ = 223106688. Its totient is φ = 34897920.

The previous prime is 90192631. The next prime is 90192659. The reversal of 90192640 is 4629109.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 38544 + ... + 40816.

It is an arithmetic number, because the mean of its divisors is an integer number (3098704).

Almost surely, 2^90192640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111553344).

90192640 is an abundant number, since it is smaller than the sum of its proper divisors (132914048).

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

90192640 is a wasteful number, since it uses less digits than its factorization.

90192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 90192640 is about 9496.9805727926. The cubic root of 90192640 is about 448.4599867279.

The spelling of 90192640 in words is "ninety million, one hundred ninety-two thousand, six hundred forty".