90262656 has 192 divisors, whose sum is σ = 300736800. Its totient is φ = 25681920.

The previous prime is 90262637. The next prime is 90262661. The reversal of 90262656 is 65626209.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90262656.

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, 215215 + ... + 215633.

Almost surely, 2^90262656 is an apocalyptic number.

90262656 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 90262656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400).

90262656 is an abundant number, since it is smaller than the sum of its proper divisors (210474144).

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

90262656 is a wasteful number, since it uses less digits than its factorization.

90262656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 90262656 is about 9500.6660819124. Note that the first 3 decimals coincide. The cubic root of 90262656 is about 448.5760023025.

The spelling of 90262656 in words is "ninety million, two hundred sixty-two thousand, six hundred fifty-six".