90924120 has 320 divisors, whose sum is σ = 369388800. Its totient is φ = 19595520.

The previous prime is 90924089. The next prime is 90924131. The reversal of 90924120 is 2142909.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 430815 + ... + 431025.

It is an arithmetic number, because the mean of its divisors is an integer number (1154340).

Almost surely, 2^90924120 is an apocalyptic number.

90924120 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 90924120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184694400).

90924120 is an abundant number, since it is smaller than the sum of its proper divisors (278464680).

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

90924120 is a wasteful number, since it uses less digits than its factorization.

90924120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90924120 is about 9535.4139920614. The cubic root of 90924120 is about 449.6690900566.

The spelling of 90924120 in words is "ninety million, nine hundred twenty-four thousand, one hundred twenty".