90056736 has 288 divisors, whose sum is σ = 332107776. Its totient is φ = 22464000.

The previous prime is 90056719. The next prime is 90056797. The reversal of 90056736 is 63765009.

It is a happy number.

90056736 is a `hidden beast` number, since 90 + 0 + 567 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×90056736² = 16220431397947392, which contains 22 as substring.

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 90056736.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687391 + ... + 687521.

It is an arithmetic number, because the mean of its divisors is an integer number (1153152).

Almost surely, 2^90056736 is an apocalyptic number.

90056736 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 90056736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166053888).

90056736 is an abundant number, since it is smaller than the sum of its proper divisors (242051040).

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

90056736 is a wasteful number, since it uses less digits than its factorization.

90056736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 90056736 is about 9489.8227591457. The cubic root of 90056736 is about 448.2346241263.

The spelling of 90056736 in words is "ninety million, fifty-six thousand, seven hundred thirty-six".