82952640 has 112 divisors (see below), whose sum is σ = 292668960. Its totient is φ = 22118400.

The previous prime is 82952629. The next prime is 82952647. The reversal of 82952640 is 4625928.

It is a happy number.

82952640 is a `hidden beast` number, since 8 + 2 + 9 + 5 + 2 + 640 = 666.

It is a super-2 number, since 2×82952640² = 13762280965939200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 82952595 and 82952604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82952647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3840 + ... + 13440.

Almost surely, 2^82952640 is an apocalyptic number.

82952640 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 82952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146334480).

82952640 is an abundant number, since it is smaller than the sum of its proper divisors (209716320).

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

82952640 is a wasteful number, since it uses less digits than its factorization.

82952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627 (or 9611 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 82952640 is about 9107.8339905820. The cubic root of 82952640 is about 436.1240844256.

The spelling of 82952640 in words is "eighty-two million, nine hundred fifty-two thousand, six hundred forty".