90925380 has 324 divisors, whose sum is σ = 353110212. Its totient is φ = 18869760.

The previous prime is 90925363. The next prime is 90925381. The reversal of 90925380 is 8352909.

It can be written as a sum of positive squares in 6 ways, for example, as 43480836 + 47444544 = 6594^2 + 6888^2 .

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

It is not an unprimeable number, because it can be changed into a prime (90925381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1490550 + ... + 1490610.

Almost surely, 2^90925380 is an apocalyptic number.

90925380 is a gapful number since it is divisible by the number (90) 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 90925380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176555106).

90925380 is an abundant number, since it is smaller than the sum of its proper divisors (262184832).

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

90925380 is a wasteful number, since it uses less digits than its factorization.

90925380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 90925380 is about 9535.4800613288. The cubic root of 90925380 is about 449.6711671748.

The spelling of 90925380 in words is "ninety million, nine hundred twenty-five thousand, three hundred eighty".