85878192 has 80 divisors (see below), whose sum is σ = 227985408. Its totient is φ = 27847680.

The previous prime is 85878187. The next prime is 85878209. The reversal of 85878192 is 29187858.

It is a super-2 number, since 2×85878192² = 14750127722377728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384993 + ... + 385215.

Almost surely, 2^85878192 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 85878192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113992704).

85878192 is an abundant number, since it is smaller than the sum of its proper divisors (142107216).

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

85878192 is a wasteful number, since it uses less digits than its factorization.

85878192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its digits is 322560, while the sum is 48.

The square root of 85878192 is about 9267.0487211409. The cubic root of 85878192 is about 441.1920019965.

It can be divided in two parts, 858 and 78192, that multiplied together give a triangular number (67088736 = T₁₁₅₈₃).

The spelling of 85878192 in words is "eighty-five million, eight hundred seventy-eight thousand, one hundred ninety-two".