90947152 has 40 divisors (see below), whose sum is σ = 187380864. Its totient is φ = 42666624.

The previous prime is 90947141. The next prime is 90947159. The reversal of 90947152 is 25174909.

It is a super-2 number, since 2×90947152² = 16542768913822208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90947159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17173 + ... + 21835.

Almost surely, 2^90947152 is an apocalyptic number.

90947152 is a gapful number since it is divisible by the number (92) 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 90947152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93690432).

90947152 is an abundant number, since it is smaller than the sum of its proper divisors (96433712).

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

90947152 is a wasteful number, since it uses less digits than its factorization.

90947152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 90947152 is about 9536.6216240344. The cubic root of 90947152 is about 449.7070554285.

The spelling of 90947152 in words is "ninety million, nine hundred forty-seven thousand, one hundred fifty-two".