86472144 has 160 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 25315200.

The previous prime is 86472121. The next prime is 86472163. The reversal of 86472144 is 44127468.

86472144 is a `hidden beast` number, since 8 + 647 + 2 + 1 + 4 + 4 = 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 = 86472099 and 86472108.

It is a congruent number.

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, 147019 + ... + 147605.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 2^86472144 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 86472144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

86472144 is an abundant number, since it is smaller than the sum of its proper divisors (193509936).

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

86472144 is a wasteful number, since it uses less digits than its factorization.

86472144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 86472144 is about 9299.0399504465. The cubic root of 86472144 is about 442.2067922568.

The spelling of 86472144 in words is "eighty-six million, four hundred seventy-two thousand, one hundred forty-four".