83408640 has 288 divisors, whose sum is σ = 317882880. Its totient is φ = 18235392.

The previous prime is 83408639. The next prime is 83408659. The reversal of 83408640 is 4680438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779467 + ... + 779573.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 2^83408640 is an apocalyptic number.

83408640 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 83408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

83408640 is an abundant number, since it is smaller than the sum of its proper divisors (234474240).

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

83408640 is a wasteful number, since it uses less digits than its factorization.

83408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 83408640 is about 9132.8330763241. The cubic root of 83408640 is about 436.9217656205.

It can be divided in two parts, 83408 and 640, that added together give a palindrome (84048).

The spelling of 83408640 in words is "eighty-three million, four hundred eight thousand, six hundred forty".