86479040 has 56 divisors (see below), whose sum is σ = 209854800. Its totient is φ = 33932288.

The previous prime is 86479037. The next prime is 86479061. The reversal of 86479040 is 4097468.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86478985 and 86479003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14411 + ... + 19509.

Almost surely, 2^86479040 is an apocalyptic number.

86479040 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 86479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104927400).

86479040 is an abundant number, since it is smaller than the sum of its proper divisors (123375760).

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

86479040 is a wasteful number, since it uses less digits than its factorization.

86479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 86479040 is about 9299.4107340197. The cubic root of 86479040 is about 442.2185470133.

The spelling of 86479040 in words is "eighty-six million, four hundred seventy-nine thousand, forty".