83749896 has 128 divisors (see below), whose sum is σ = 243302400. Its totient is φ = 26671680.

The previous prime is 83749873. The next prime is 83749903. The reversal of 83749896 is 69894738.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2612736) is a multiple of the sum of its prime factors (256).

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, 659385 + ... + 659511.

It is an arithmetic number, because the mean of its divisors is an integer number (1900800).

Almost surely, 2^83749896 is an apocalyptic number.

83749896 is a gapful number since it is divisible by the number (86) 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 83749896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121651200).

83749896 is an abundant number, since it is smaller than the sum of its proper divisors (159552504).

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

83749896 is a wasteful number, since it uses less digits than its factorization.

83749896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 83749896 is about 9151.4969267328. The cubic root of 83749896 is about 437.5168250400.

The spelling of 83749896 in words is "eighty-three million, seven hundred forty-nine thousand, eight hundred ninety-six".