84413952 has 120 divisors (see below), whose sum is σ = 278534256. Its totient is φ = 24109056.

The previous prime is 84413947. The next prime is 84413971. The reversal of 84413952 is 25931448.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30948 + ... + 33564.

Almost surely, 2^84413952 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 84413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139267128).

84413952 is an abundant number, since it is smaller than the sum of its proper divisors (194120304).

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

84413952 is a wasteful number, since it uses less digits than its factorization.

84413952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2629 counting only the distinct ones).

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

The square root of 84413952 is about 9187.7065691064. The cubic root of 84413952 is about 438.6701444751.

The spelling of 84413952 in words is "eighty-four million, four hundred thirteen thousand, nine hundred fifty-two".