86749152 has 96 divisors (see below), whose sum is σ = 262144512. Its totient is φ = 24605184.

The previous prime is 86749139. The next prime is 86749163. The reversal of 86749152 is 25194768.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (120960) is a multiple of the sum of its prime factors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111838 + ... + 112610.

It is an arithmetic number, because the mean of its divisors is an integer number (2730672).

Almost surely, 2^86749152 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 86749152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131072256).

86749152 is an abundant number, since it is smaller than the sum of its proper divisors (175395360).

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

86749152 is a wasteful number, since it uses less digits than its factorization.

86749152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 86749152 is about 9313.9224819622. The cubic root of 86749152 is about 442.6784826929.

It can be divided in two parts, 867 and 49152, that multiplied together give a square (42614784 = 6528²).

The spelling of 86749152 in words is "eighty-six million, seven hundred forty-nine thousand, one hundred fifty-two".