8232840 has 288 divisors, whose sum is σ = 34856640. Its totient is φ = 1710720.

The previous prime is 8232821. The next prime is 8232857. The reversal of 8232840 is 482328.

8232840 = 139³ + 140³ + 141³.

8232840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 748435 + ... + 748445.

It is an arithmetic number, because the mean of its divisors is an integer number (121030).

Almost surely, 2^8232840 is an apocalyptic number.

8232840 is the 1815-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8232840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

8232840 is an abundant number, since it is smaller than the sum of its proper divisors (26623800).

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

8232840 is a wasteful number, since it uses less digits than its factorization.

8232840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8232840 is about 2869.2925957455. The cubic root of 8232840 is about 201.9218074645.

It can be divided in two parts, 823 and 2840, that added together give a palindrome (3663).

The spelling of 8232840 in words is "eight million, two hundred thirty-two thousand, eight hundred forty".