83564480 has 56 divisors (see below), whose sum is σ = 203649072. Its totient is φ = 32643072.

The previous prime is 83564443. The next prime is 83564491. The reversal of 83564480 is 8446538.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10724 + ... + 16796.

Almost surely, 2^83564480 is an apocalyptic number.

83564480 is a gapful number since it is divisible by the number (80) 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 83564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101824536).

83564480 is an abundant number, since it is smaller than the sum of its proper divisors (120084592).

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

83564480 is a wasteful number, since it uses less digits than its factorization.

83564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 83564480 is about 9141.3609490054. The cubic root of 83564480 is about 437.1937099727.

The spelling of 83564480 in words is "eighty-three million, five hundred sixty-four thousand, four hundred eighty".