90205920 has 384 divisors, whose sum is σ = 382233600. Its totient is φ = 19408896.

The previous prime is 90205903. The next prime is 90205933. The reversal of 90205920 is 2950209.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574482 + ... + 574638.

It is an arithmetic number, because the mean of its divisors is an integer number (995400).

Almost surely, 2^90205920 is an apocalyptic number.

90205920 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 90205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191116800).

90205920 is an abundant number, since it is smaller than the sum of its proper divisors (292027680).

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

90205920 is a wasteful number, since it uses less digits than its factorization.

90205920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 90205920 is about 9497.6797166466. The cubic root of 90205920 is about 448.4819961230.

It can be divided in two parts, 90205 and 920, that added together give a cube (91125 = 45³).

The spelling of 90205920 in words is "ninety million, two hundred five thousand, nine hundred twenty".