86743440 has 160 divisors (see below), whose sum is σ = 341525760. Its totient is φ = 19823616.

The previous prime is 86743439. The next prime is 86743451. The reversal of 86743440 is 4434768.

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 = 86743395 and 86743404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12252 + ... + 17988.

It is an arithmetic number, because the mean of its divisors is an integer number (2134536).

Almost surely, 2^86743440 is an apocalyptic number.

86743440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86743440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170762880).

86743440 is an abundant number, since it is smaller than the sum of its proper divisors (254782320).

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

86743440 is a wasteful number, since it uses less digits than its factorization.

86743440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 5754 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 86743440 is about 9313.6158391894. The cubic root of 86743440 is about 442.6687664212.

The spelling of 86743440 in words is "eighty-six million, seven hundred forty-three thousand, four hundred forty".