83040384 has 64 divisors (see below), whose sum is σ = 252095040. Its totient is φ = 23725056.

The previous prime is 83040367. The next prime is 83040467. The reversal of 83040384 is 48304038.

It is a tau number, because it is divible by the number of its divisors (64).

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, 12759 + ... + 18134.

It is an arithmetic number, because the mean of its divisors is an integer number (3938985).

Almost surely, 2^83040384 is an apocalyptic number.

83040384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83040384 is an abundant number, since it is smaller than the sum of its proper divisors (169054656).

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

83040384 is a wasteful number, since it uses less digits than its factorization.

83040384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30917 (or 30905 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 83040384 is about 9112.6496695528. The cubic root of 83040384 is about 436.2778018040.

It can be divided in two parts, 830 and 40384, that added together give a palindrome (41214).

The spelling of 83040384 in words is "eighty-three million, forty thousand, three hundred eighty-four".