86541792 has 96 divisors (see below), whose sum is σ = 235636128. Its totient is φ = 27795456.

The previous prime is 86541787. The next prime is 86541799. The reversal of 86541792 is 29714568.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86541799) 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, 371308 + ... + 371540.

It is an arithmetic number, because the mean of its divisors is an integer number (2454543).

Almost surely, 2^86541792 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 86541792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117818064).

86541792 is an abundant number, since it is smaller than the sum of its proper divisors (149094336).

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

86541792 is a wasteful number, since it uses less digits than its factorization.

86541792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

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

The square root of 86541792 is about 9302.7840993973. The cubic root of 86541792 is about 442.3254838650.

The spelling of 86541792 in words is "eighty-six million, five hundred forty-one thousand, seven hundred ninety-two".