84149632 has 64 divisors (see below), whose sum is σ = 201715200. Its totient is φ = 34159104.

The previous prime is 84149629. The next prime is 84149641. The reversal of 84149632 is 23694148.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 84149591 and 84149600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14553 + ... + 19495.

It is an arithmetic number, because the mean of its divisors is an integer number (3151800).

Almost surely, 2^84149632 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 84149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100857600).

84149632 is an abundant number, since it is smaller than the sum of its proper divisors (117565568).

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

84149632 is a wasteful number, since it uses less digits than its factorization.

84149632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4983 (or 4971 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 84149632 is about 9173.3108526856. The cubic root of 84149632 is about 438.2118058461.

The spelling of 84149632 in words is "eighty-four million, one hundred forty-nine thousand, six hundred thirty-two".