85340416 has 36 divisors (see below), whose sum is σ = 194686912. Its totient is φ = 36573696.

The previous prime is 85340413. The next prime is 85340429. The reversal of 85340416 is 61404358.

It is a happy number.

It is a super-3 number, since 3×85340416³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85340413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22020 + ... + 25603.

Almost surely, 2^85340416 is an apocalyptic number.

It is an amenable number.

85340416 is an abundant number, since it is smaller than the sum of its proper divisors (109346496).

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

85340416 is an equidigital number, since it uses as much as digits as its factorization.

85340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47646 (or 47632 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 85340416 is about 9237.9876596584. The cubic root of 85340416 is about 440.2691466250.

The spelling of 85340416 in words is "eighty-five million, three hundred forty thousand, four hundred sixteen".