86142744 has 64 divisors (see below), whose sum is σ = 242028000. Its totient is φ = 28385280.

The previous prime is 86142743. The next prime is 86142761. The reversal of 86142744 is 44724168.

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 = 86142699 and 86142708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86142743) 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, 16984 + ... + 21464.

Almost surely, 2^86142744 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 86142744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121014000).

86142744 is an abundant number, since it is smaller than the sum of its proper divisors (155885256).

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

86142744 is a wasteful number, since it uses less digits than its factorization.

86142744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4575 counting only the distinct ones).

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

The square root of 86142744 is about 9281.3115452505. The cubic root of 86142744 is about 441.6445754862.

The spelling of 86142744 in words is "eighty-six million, one hundred forty-two thousand, seven hundred forty-four".