82935120 has 80 divisors (see below), whose sum is σ = 261501120. Its totient is φ = 21737472.

The previous prime is 82935113. The next prime is 82935161. The reversal of 82935120 is 2153928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11232 + ... + 17088.

It is an arithmetic number, because the mean of its divisors is an integer number (3268764).

Almost surely, 2^82935120 is an apocalyptic number.

82935120 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 82935120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130750560).

82935120 is an abundant number, since it is smaller than the sum of its proper divisors (178566000).

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

82935120 is a wasteful number, since it uses less digits than its factorization.

82935120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 82935120 is about 9106.8721304299. The cubic root of 82935120 is about 436.0933784229.

The spelling of 82935120 in words is "eighty-two million, nine hundred thirty-five thousand, one hundred twenty".