83872464 has 80 divisors (see below), whose sum is σ = 234693312. Its totient is φ = 25657344.

The previous prime is 83872463. The next prime is 83872471. The reversal of 83872464 is 46427838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83872463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160107 + ... + 160629.

Almost surely, 2^83872464 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 83872464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117346656).

83872464 is an abundant number, since it is smaller than the sum of its proper divisors (150820848).

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

83872464 is a wasteful number, since it uses less digits than its factorization.

83872464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 83872464 is about 9158.1910877640. The cubic root of 83872464 is about 437.7301563422.

The spelling of 83872464 in words is "eighty-three million, eight hundred seventy-two thousand, four hundred sixty-four".