85642464 has 96 divisors (see below), whose sum is σ = 240934176. Its totient is φ = 26542080.

The previous prime is 85642451. The next prime is 85642477. The reversal of 85642464 is 46424658.

It is an interprime number because it is at equal distance from previous prime (85642451) and next prime (85642477).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158034 + ... + 158574.

It is an arithmetic number, because the mean of its divisors is an integer number (2509731).

Almost surely, 2^85642464 is an apocalyptic number.

85642464 is the 4947-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85642464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120467088).

85642464 is an abundant number, since it is smaller than the sum of its proper divisors (155291712).

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

85642464 is a wasteful number, since it uses less digits than its factorization.

85642464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 85642464 is about 9254.3213689606. The cubic root of 85642464 is about 440.7879544756.

The spelling of 85642464 in words is "eighty-five million, six hundred forty-two thousand, four hundred sixty-four".