90939120 has 160 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 22056960.

The previous prime is 90939097. The next prime is 90939127. The reversal of 90939120 is 2193909.

90939120 = 106² + 107² + ... + 649².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90939127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126121 + ... + 126839.

It is an arithmetic number, because the mean of its divisors is an integer number (1928448).

Almost surely, 2^90939120 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 90939120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

90939120 is an abundant number, since it is smaller than the sum of its proper divisors (217612560).

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

90939120 is a wasteful number, since it uses less digits than its factorization.

90939120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 90939120 is about 9536.2005012479. The cubic root of 90939120 is about 449.6938164088.

The spelling of 90939120 in words is "ninety million, nine hundred thirty-nine thousand, one hundred twenty".