82735920 has 120 divisors (see below), whose sum is σ = 280062432. Its totient is φ = 21888000.

The previous prime is 82735903. The next prime is 82735949. The reversal of 82735920 is 2953728.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108340 + ... + 109100.

Almost surely, 2^82735920 is an apocalyptic number.

82735920 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 82735920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140031216).

82735920 is an abundant number, since it is smaller than the sum of its proper divisors (197326512).

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

82735920 is a wasteful number, since it uses less digits than its factorization.

82735920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 82735920 is about 9095.9287596155. The cubic root of 82735920 is about 435.7439508859.

The spelling of 82735920 in words is "eighty-two million, seven hundred thirty-five thousand, nine hundred twenty".