85951392 has 48 divisors (see below), whose sum is σ = 226840320. Its totient is φ = 28495872.

The previous prime is 85951387. The next prime is 85951399. The reversal of 85951392 is 29315958.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (85951399) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16209 + ... + 20847.

It is an arithmetic number, because the mean of its divisors is an integer number (4725840).

Almost surely, 2^85951392 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 85951392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113420160).

85951392 is an abundant number, since it is smaller than the sum of its proper divisors (140888928).

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

85951392 is a wasteful number, since it uses less digits than its factorization.

85951392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4837 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 85951392 is about 9270.9973573505. The cubic root of 85951392 is about 441.3173193493.

The spelling of 85951392 in words is "eighty-five million, nine hundred fifty-one thousand, three hundred ninety-two".