84609252 has 96 divisors (see below), whose sum is σ = 270009600. Its totient is φ = 22311936.

The previous prime is 84609241. The next prime is 84609271. The reversal of 84609252 is 25290648.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5524 + ... + 14132.

It is an arithmetic number, because the mean of its divisors is an integer number (2812600).

Almost surely, 2^84609252 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 84609252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135004800).

84609252 is an abundant number, since it is smaller than the sum of its proper divisors (185400348).

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

84609252 is a wasteful number, since it uses less digits than its factorization.

84609252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8642 (or 8634 counting only the distinct ones).

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

The square root of 84609252 is about 9198.3287612479. The cubic root of 84609252 is about 439.0081861201.

The spelling of 84609252 in words is "eighty-four million, six hundred nine thousand, two hundred fifty-two".