85315416 has 32 divisors (see below), whose sum is σ = 216907200. Its totient is φ = 27956000.

The previous prime is 85315409. The next prime is 85315423. The reversal of 85315416 is 61451358.

It is an interprime number because it is at equal distance from previous prime (85315409) and next prime (85315423).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 28710 + ... + 31541.

It is an arithmetic number, because the mean of its divisors is an integer number (6778350).

Almost surely, 2^85315416 is an apocalyptic number.

It is an amenable number.

85315416 is an abundant number, since it is smaller than the sum of its proper divisors (131591784).

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

85315416 is a wasteful number, since it uses less digits than its factorization.

85315416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60319 (or 60315 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 85315416 is about 9236.6344520069. The cubic root of 85315416 is about 440.2261509608.

The spelling of 85315416 in words is "eighty-five million, three hundred fifteen thousand, four hundred sixteen".