90416832 has 112 divisors (see below), whose sum is σ = 269589504. Its totient is φ = 26496000.

The previous prime is 90416827. The next prime is 90416869. The reversal of 90416832 is 23861409.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 90416793 and 90416802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64782 + ... + 66162.

Almost surely, 2^90416832 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 90416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134794752).

90416832 is an abundant number, since it is smaller than the sum of its proper divisors (179172672).

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

90416832 is a wasteful number, since it uses less digits than its factorization.

90416832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 90416832 is about 9508.7765774573. The cubic root of 90416832 is about 448.8312585267.

The spelling of 90416832 in words is "ninety million, four hundred sixteen thousand, eight hundred thirty-two".