86910240 has 48 divisors (see below), whose sum is σ = 273768768. Its totient is φ = 23175936.

The previous prime is 86910217. The next prime is 86910253. The reversal of 86910240 is 4201968.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 86910198 and 86910207.

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, 90052 + ... + 91011.

It is an arithmetic number, because the mean of its divisors is an integer number (5703516).

Almost surely, 2^86910240 is an apocalyptic number.

86910240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86910240 is an abundant number, since it is smaller than the sum of its proper divisors (186858528).

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

86910240 is a wasteful number, since it uses less digits than its factorization.

86910240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181081 (or 181073 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 86910240 is about 9322.5661703203. The cubic root of 86910240 is about 442.9523224392.

The spelling of 86910240 in words is "eighty-six million, nine hundred ten thousand, two hundred forty".