86955744 has 96 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 27532800.

The previous prime is 86955733. The next prime is 86955751. The reversal of 86955744 is 44755968.

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

It is a super-2 number, since 2×86955744² = 15122602829187072, which contains 22 as substring.

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

Its product of digits (1209600) is a multiple of the sum of its prime divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 86955693 and 86955702.

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, 181297 + ... + 181775.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^86955744 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 86955744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

86955744 is an abundant number, since it is smaller than the sum of its proper divisors (153028896).

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

86955744 is a wasteful number, since it uses less digits than its factorization.

86955744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 86955744 is about 9325.0063806949. The cubic root of 86955744 is about 443.0296151562.

The spelling of 86955744 in words is "eighty-six million, nine hundred fifty-five thousand, seven hundred forty-four".