84145644 has 72 divisors (see below), whose sum is σ = 234404352. Its totient is φ = 25238880.

The previous prime is 84145639. The next prime is 84145693. The reversal of 84145644 is 44654148.

It is a happy number.

84145644 is a `hidden beast` number, since 8 + 4 + 1 + 4 + 5 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 84145599 and 84145608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39757 + ... + 41819.

It is an arithmetic number, because the mean of its divisors is an integer number (3255616).

Almost surely, 2^84145644 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 84145644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117202176).

84145644 is an abundant number, since it is smaller than the sum of its proper divisors (150258708).

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

84145644 is a wasteful number, since it uses less digits than its factorization.

84145644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2182 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 84145644 is about 9173.0934803914. The cubic root of 84145644 is about 438.2048831924.

The spelling of 84145644 in words is "eighty-four million, one hundred forty-five thousand, six hundred forty-four".