84575232 has 352 divisors, whose sum is σ = 314419200. Its totient is φ = 21897216.

The previous prime is 84575201. The next prime is 84575233. The reversal of 84575232 is 23257548.

84575232 is a `hidden beast` number, since 84 + 57 + 523 + 2 = 666.

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 (84575233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3677173 + ... + 3677195.

Almost surely, 2^84575232 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 84575232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157209600).

84575232 is an abundant number, since it is smaller than the sum of its proper divisors (229843968).

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

84575232 is a wasteful number, since it uses less digits than its factorization.

84575232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 84575232 is about 9196.4793263509. The cubic root of 84575232 is about 438.9493388888.

It can be divided in two parts, 8457 and 5232, that added together give a square (13689 = 117²).

The spelling of 84575232 in words is "eighty-four million, five hundred seventy-five thousand, two hundred thirty-two".