90452376 has 288 divisors, whose sum is σ = 321834240. Its totient is φ = 23265792.

The previous prime is 90452347. The next prime is 90452381. The reversal of 90452376 is 67325409.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90452376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3932701 + ... + 3932723.

It is an arithmetic number, because the mean of its divisors is an integer number (1117480).

Almost surely, 2^90452376 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 90452376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160917120).

90452376 is an abundant number, since it is smaller than the sum of its proper divisors (231381864).

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

90452376 is a wasteful number, since it uses less digits than its factorization.

90452376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 90452376 is about 9510.6454039671. The cubic root of 90452376 is about 448.8900645694.

The spelling of 90452376 in words is "ninety million, four hundred fifty-two thousand, three hundred seventy-six".