85787464 has 64 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 35809344.

The previous prime is 85787461. The next prime is 85787477. The reversal of 85787464 is 46478758.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85787461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617107 + ... + 617245.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^85787464 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 85787464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

85787464 is an abundant number, since it is smaller than the sum of its proper divisors (102910136).

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

85787464 is a wasteful number, since it uses less digits than its factorization.

85787464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 49.

The square root of 85787464 is about 9262.1522336874. The cubic root of 85787464 is about 441.0365780887.

The spelling of 85787464 in words is "eighty-five million, seven hundred eighty-seven thousand, four hundred sixty-four".