90661032 has 320 divisors, whose sum is σ = 334540800. Its totient is φ = 22239360.

The previous prime is 90661001. The next prime is 90661033. The reversal of 90661032 is 23016609.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90660987 and 90661005.

It is not an unprimeable number, because it can be changed into a prime (90661033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1147569 + ... + 1147647.

It is an arithmetic number, because the mean of its divisors is an integer number (1045440).

Almost surely, 2^90661032 is an apocalyptic number.

90661032 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 90661032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270400).

90661032 is an abundant number, since it is smaller than the sum of its proper divisors (243879768).

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

90661032 is a wasteful number, since it uses less digits than its factorization.

90661032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90661032 is about 9521.6086876116. The cubic root of 90661032 is about 449.2349667908.

The spelling of 90661032 in words is "ninety million, six hundred sixty-one thousand, thirty-two".