86938752 has 128 divisors (see below), whose sum is σ = 246513600. Its totient is φ = 27095040.

The previous prime is 86938741. The next prime is 86938759. The reversal of 86938752 is 25783968.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (86938759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411927 + ... + 412137.

Almost surely, 2^86938752 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 86938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123256800).

86938752 is an abundant number, since it is smaller than the sum of its proper divisors (159574848).

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

86938752 is a wasteful number, since it uses less digits than its factorization.

86938752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 86938752 is about 9324.0952376088. The cubic root of 86938752 is about 443.0007558412. Note that the first 3 decimals are identical.

It can be divided in two parts, 869 and 38752, that added together give a triangular number (39621 = T₂₈₁).

The spelling of 86938752 in words is "eighty-six million, nine hundred thirty-eight thousand, seven hundred fifty-two".