86749440 has 288 divisors, whose sum is σ = 309052800. Its totient is φ = 20643840.

The previous prime is 86749417. The next prime is 86749441. The reversal of 86749440 is 4494768.

It is a junction number, because it is equal to n+sod(n) for n = 86749392 and 86749401.

It is not an unprimeable number, because it can be changed into a prime (86749441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2115820 + ... + 2115860.

It is an arithmetic number, because the mean of its divisors is an integer number (1073100).

Almost surely, 2^86749440 is an apocalyptic number.

86749440 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 86749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154526400).

86749440 is an abundant number, since it is smaller than the sum of its proper divisors (222303360).

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

86749440 is a wasteful number, since it uses less digits than its factorization.

86749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 86749440 is about 9313.9379426749. The cubic root of 86749440 is about 442.6789725777.

The spelling of 86749440 in words is "eighty-six million, seven hundred forty-nine thousand, four hundred forty".