85811440 has 120 divisors (see below), whose sum is σ = 236087568. Its totient is φ = 28753920.

The previous prime is 85811417. The next prime is 85811471. The reversal of 85811440 is 4411858.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148432 + ... + 149008.

Almost surely, 2^85811440 is an apocalyptic number.

85811440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85811440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118043784).

85811440 is an abundant number, since it is smaller than the sum of its proper divisors (150276128).

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

85811440 is a wasteful number, since it uses less digits than its factorization.

85811440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 85811440 is about 9263.4464428743. The cubic root of 85811440 is about 441.0776614341.

The spelling of 85811440 in words is "eighty-five million, eight hundred eleven thousand, four hundred forty".