85417152 has 112 divisors (see below), whose sum is σ = 237207552. Its totient is φ = 27095040.

The previous prime is 85417139. The next prime is 85417159. The reversal of 85417152 is 25171458.

It is a super-2 number, since 2×85417152² = 14592179711582208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85417159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672513 + ... + 672639.

Almost surely, 2^85417152 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 85417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118603776).

85417152 is an abundant number, since it is smaller than the sum of its proper divisors (151790400).

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

85417152 is a wasteful number, since it uses less digits than its factorization.

85417152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 11200, while the sum is 33.

The square root of 85417152 is about 9242.1400119236. The cubic root of 85417152 is about 440.4010668172.

The spelling of 85417152 in words is "eighty-five million, four hundred seventeen thousand, one hundred fifty-two".