82147520 has 252 divisors, whose sum is σ = 254349504. Its totient is φ = 25159680.

The previous prime is 82147487. The next prime is 82147543. The reversal of 82147520 is 2574128.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2649905 + ... + 2649935.

Almost surely, 2^82147520 is an apocalyptic number.

82147520 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 82147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127174752).

82147520 is an abundant number, since it is smaller than the sum of its proper divisors (172201984).

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

82147520 is a wasteful number, since it uses less digits than its factorization.

82147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 82147520 is about 9063.5269073358. The cubic root of 82147520 is about 434.7085201062.

The spelling of 82147520 in words is "eighty-two million, one hundred forty-seven thousand, five hundred twenty".