83935872 has 128 divisors (see below), whose sum is σ = 250920000. Its totient is φ = 27620352.

The previous prime is 83935867. The next prime is 83935877. The reversal of 83935872 is 27853938.

It is an interprime number because it is at equal distance from previous prime (83935867) and next prime (83935877).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (83935877) 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, 514863 + ... + 515025.

Almost surely, 2^83935872 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 83935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125460000).

83935872 is an abundant number, since it is smaller than the sum of its proper divisors (166984128).

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

83935872 is a wasteful number, since it uses less digits than its factorization.

83935872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 83935872 is about 9161.6522527326. The cubic root of 83935872 is about 437.8404372811.

The spelling of 83935872 in words is "eighty-three million, nine hundred thirty-five thousand, eight hundred seventy-two".