85417416 has 96 divisors (see below), whose sum is σ = 274223040. Its totient is φ = 24401088.

The previous prime is 85417399. The next prime is 85417433. The reversal of 85417416 is 61471458.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85417399) and next prime (85417433).

It is a super-2 number, since 2×85417416² = 14592269912234112, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 10470 + ... + 16746.

It is an arithmetic number, because the mean of its divisors is an integer number (2856490).

Almost surely, 2^85417416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85417416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137111520).

85417416 is an abundant number, since it is smaller than the sum of its proper divisors (188805624).

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

85417416 is a wasteful number, since it uses less digits than its factorization.

85417416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305 (or 6289 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 85417416 is about 9242.1542943190. The cubic root of 85417416 is about 440.4015205347.

The spelling of 85417416 in words is "eighty-five million, four hundred seventeen thousand, four hundred sixteen".