90664896 has 168 divisors, whose sum is σ = 291876480. Its totient is φ = 24718848.

The previous prime is 90664883. The next prime is 90664901. The reversal of 90664896 is 69846609.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216175 + ... + 216593.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^90664896 is an apocalyptic number.

90664896 is a gapful number since it is divisible by the number (96) 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 90664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145938240).

90664896 is an abundant number, since it is smaller than the sum of its proper divisors (201211584).

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

90664896 is a wasteful number, since it uses less digits than its factorization.

90664896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 90664896 is about 9521.8115923389. The cubic root of 90664896 is about 449.2413488759.

The spelling of 90664896 in words is "ninety million, six hundred sixty-four thousand, eight hundred ninety-six".