83715840 has 324 divisors, whose sum is σ = 320936616. Its totient is φ = 20127744.

The previous prime is 83715833. The next prime is 83715857. The reversal of 83715840 is 4851738.

83715840 is a `hidden beast` number, since 8 + 3 + 71 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83715795 and 83715804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1946859 + ... + 1946901.

Almost surely, 2^83715840 is an apocalyptic number.

83715840 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 83715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160468308).

83715840 is an abundant number, since it is smaller than the sum of its proper divisors (237220776).

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

83715840 is a wasteful number, since it uses less digits than its factorization.

83715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 83715840 is about 9149.6360583359. The cubic root of 83715840 is about 437.4575131530.

The spelling of 83715840 in words is "eighty-three million, seven hundred fifteen thousand, eight hundred forty".