82580652 has 144 divisors (see below), whose sum is σ = 268929024. Its totient is φ = 20757600.

The previous prime is 82580651. The next prime is 82580681. The reversal of 82580652 is 25608528.

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

It is not an unprimeable number, because it can be changed into a prime (82580651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2663877 + ... + 2663907.

Almost surely, 2^82580652 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 82580652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134464512).

82580652 is an abundant number, since it is smaller than the sum of its proper divisors (186348372).

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

82580652 is a wasteful number, since it uses less digits than its factorization.

82580652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 82580652 is about 9087.3897242277. The cubic root of 82580652 is about 435.4711976920.

The spelling of 82580652 in words is "eighty-two million, five hundred eighty thousand, six hundred fifty-two".