85413888 has 156 divisors (see below), whose sum is σ = 282818848. Its totient is φ = 24330240.

The previous prime is 85413877. The next prime is 85413893. The reversal of 85413888 is 88831458.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257883 + ... + 258213.

Almost surely, 2^85413888 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 85413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141409424).

85413888 is an abundant number, since it is smaller than the sum of its proper divisors (197404960).

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

85413888 is a wasteful number, since it uses less digits than its factorization.

85413888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 343 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 85413888 is about 9241.9634277571. The cubic root of 85413888 is about 440.3954571422.

The spelling of 85413888 in words is "eighty-five million, four hundred thirteen thousand, eight hundred eighty-eight".