86353416 has 48 divisors (see below), whose sum is σ = 241944300. Its totient is φ = 27791232.

The previous prime is 86353391. The next prime is 86353439. The reversal of 86353416 is 61435368.

86353416 is a `hidden beast` number, since 8 + 635 + 3 + 4 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85488516 + 864900 = 9246^2 + 930^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18591 + ... + 22766.

Almost surely, 2^86353416 is an apocalyptic number.

It is an amenable number.

86353416 is an abundant number, since it is smaller than the sum of its proper divisors (155590884).

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

86353416 is a wasteful number, since it uses less digits than its factorization.

86353416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41398 (or 41391 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 86353416 is about 9292.6538728180. The cubic root of 86353416 is about 442.0043132739.

The spelling of 86353416 in words is "eighty-six million, three hundred fifty-three thousand, four hundred sixteen".