90125376 has 112 divisors (see below), whose sum is σ = 262859520. Its totient is φ = 27025920.

The previous prime is 90125363. The next prime is 90125389. The reversal of 90125376 is 67352109.

It is an interprime number because it is at equal distance from previous prime (90125363) and next prime (90125389).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293415 + ... + 293721.

It is an arithmetic number, because the mean of its divisors is an integer number (2346960).

Almost surely, 2^90125376 is an apocalyptic number.

90125376 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 90125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131429760).

90125376 is an abundant number, since it is smaller than the sum of its proper divisors (172734144).

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

90125376 is a wasteful number, since it uses less digits than its factorization.

90125376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 90125376 is about 9493.4385761957. The cubic root of 90125376 is about 448.3484746187.

The spelling of 90125376 in words is "ninety million, one hundred twenty-five thousand, three hundred seventy-six".