82883520 has 224 divisors, whose sum is σ = 299557440. Its totient is φ = 21565440.

The previous prime is 82883519. The next prime is 82883587. The reversal of 82883520 is 2538828.

82883520 = 422² + 423² + ... + 686².

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

It is a congruent number.

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, 457830 + ... + 458010.

It is an arithmetic number, because the mean of its divisors is an integer number (1337310).

Almost surely, 2^82883520 is an apocalyptic number.

82883520 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 82883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

82883520 is an abundant number, since it is smaller than the sum of its proper divisors (216673920).

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

82883520 is a wasteful number, since it uses less digits than its factorization.

82883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 82883520 is about 9104.0386642413. The cubic root of 82883520 is about 436.0029178045.

It can be divided in two parts, 828 and 83520, that added together give a palindrome (84348).

The spelling of 82883520 in words is "eighty-two million, eight hundred eighty-three thousand, five hundred twenty".