85878468 has 60 divisors (see below), whose sum is σ = 241784620. Its totient is φ = 26422848.

The previous prime is 85878467. The next prime is 85878479. The reversal of 85878468 is 86487858.

It can be written as a sum of positive squares in 2 ways, for example, as 50808384 + 35070084 = 7128^2 + 5922^2 .

It is a super-2 number, since 2×85878468² = 14750222532054048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85878467) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5983 + ... + 14406.

Almost surely, 2^85878468 is an apocalyptic number.

It is an amenable number.

85878468 is an abundant number, since it is smaller than the sum of its proper divisors (155906152).

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

85878468 is a wasteful number, since it uses less digits than its factorization.

85878468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20418 (or 20407 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 85878468 is about 9267.0636126014. The cubic root of 85878468 is about 441.1924746383.

The spelling of 85878468 in words is "eighty-five million, eight hundred seventy-eight thousand, four hundred sixty-eight".