83541264 has 80 divisors (see below), whose sum is σ = 234770688. Its totient is φ = 25491456.

The previous prime is 83541259. The next prime is 83541277. The reversal of 83541264 is 46214538.

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, 28809 + ... + 31575.

Almost surely, 2^83541264 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 83541264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117385344).

83541264 is an abundant number, since it is smaller than the sum of its proper divisors (151229424).

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

83541264 is a wasteful number, since it uses less digits than its factorization.

83541264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2826 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 83541264 is about 9140.0910279931. The cubic root of 83541264 is about 437.1532189680.

The spelling of 83541264 in words is "eighty-three million, five hundred forty-one thousand, two hundred sixty-four".