90262920 has 256 divisors, whose sum is σ = 321408000. Its totient is φ = 20044800.

The previous prime is 90262883. The next prime is 90262927. The reversal of 90262920 is 2926209.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (90262927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1479690 + ... + 1479750.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 2^90262920 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 90262920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

90262920 is an abundant number, since it is smaller than the sum of its proper divisors (231145080).

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

90262920 is a wasteful number, since it uses less digits than its factorization.

90262920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 90262920 is about 9500.6799756649. The cubic root of 90262920 is about 448.5764396335.

The spelling of 90262920 in words is "ninety million, two hundred sixty-two thousand, nine hundred twenty".