90561632 has 48 divisors (see below), whose sum is σ = 206260992. Its totient is φ = 38336640.

The previous prime is 90561593. The next prime is 90561643. The reversal of 90561632 is 23616509.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16157 + ... + 21027.

It is an arithmetic number, because the mean of its divisors is an integer number (4297104).

Almost surely, 2^90561632 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 90561632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103130496).

90561632 is an abundant number, since it is smaller than the sum of its proper divisors (115699360).

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

90561632 is a wasteful number, since it uses less digits than its factorization.

90561632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 90561632 is about 9516.3875499057. The cubic root of 90561632 is about 449.0707275946.

The spelling of 90561632 in words is "ninety million, five hundred sixty-one thousand, six hundred thirty-two".