90064962 has 48 divisors (see below), whose sum is σ = 215062848. Its totient is φ = 27064800.

The previous prime is 90064957. The next prime is 90064969. The reversal of 90064962 is 26946009.

90064962 is a `hidden beast` number, since 9 + 0 + 0 + 649 + 6 + 2 = 666.

It is a super-2 number, since 2×90064962² = 16223394760122888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90064969) 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 23 ways as a sum of consecutive naturals, for example, 5587 + ... + 14537.

It is an arithmetic number, because the mean of its divisors is an integer number (4480476).

Almost surely, 2^90064962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90064962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107531424).

90064962 is an abundant number, since it is smaller than the sum of its proper divisors (124997886).

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

90064962 is a wasteful number, since it uses less digits than its factorization.

90064962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9015 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 90064962 is about 9490.2561609263. The cubic root of 90064962 is about 448.2482713222.

The spelling of 90064962 in words is "ninety million, sixty-four thousand, nine hundred sixty-two".