85926464 has 56 divisors (see below), whose sum is σ = 185196480. Its totient is φ = 39320064.

The previous prime is 85926461. The next prime is 85926487. The reversal of 85926464 is 46462958.

It is a super-3 number, since 3×85926464³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (85926461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115277 + ... + 116019.

It is an arithmetic number, because the mean of its divisors is an integer number (3307080).

Almost surely, 2^85926464 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 85926464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92598240).

85926464 is an abundant number, since it is smaller than the sum of its proper divisors (99270016).

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

85926464 is a wasteful number, since it uses less digits than its factorization.

85926464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 897 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 85926464 is about 9269.6528521838. The cubic root of 85926464 is about 441.2746509620.

The spelling of 85926464 in words is "eighty-five million, nine hundred twenty-six thousand, four hundred sixty-four".