8032500 has 240 divisors, whose sum is σ = 31489920. Its totient is φ = 1728000.

The previous prime is 8032489. The next prime is 8032511. The reversal of 8032500 is 52308.

8032500 = 25³ + 26³ + ... + 75³.

8032500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8032489) and next prime (8032511).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 472492 + ... + 472508.

It is an arithmetic number, because the mean of its divisors is an integer number (131208).

Almost surely, 2^8032500 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 8032500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744960).

8032500 is an abundant number, since it is smaller than the sum of its proper divisors (23457420).

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

8032500 is a wasteful number, since it uses less digits than its factorization.

8032500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 8032500 is about 2834.1665441537. The cubic root of 8032500 is about 200.2704674054.

Adding to 8032500 its reverse (52308), we get a palindrome (8084808).

The spelling of 8032500 in words is "eight million, thirty-two thousand, five hundred".