90361656 has 160 divisors (see below), whose sum is σ = 315722880. Its totient is φ = 23457600.

The previous prime is 90361637. The next prime is 90361669. The reversal of 90361656 is 65616309.

90361656 = 51³ + 52³ + ... + 138³.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 90361656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48991 + ... + 50801.

It is an arithmetic number, because the mean of its divisors is an integer number (1973268).

Almost surely, 2^90361656 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 90361656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157861440).

90361656 is an abundant number, since it is smaller than the sum of its proper divisors (225361224).

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

90361656 is a wasteful number, since it uses less digits than its factorization.

90361656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 90361656 is about 9505.8748150815. The cubic root of 90361656 is about 448.7399416331.

The spelling of 90361656 in words is "ninety million, three hundred sixty-one thousand, six hundred fifty-six".