85738464 has 144 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 24111360.

The previous prime is 85738451. The next prime is 85738487. The reversal of 85738464 is 46483758.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142837 + ... + 143435.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^85738464 is an apocalyptic number.

85738464 is a gapful number since it is divisible by the number (84) 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 85738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

85738464 is an abundant number, since it is smaller than the sum of its proper divisors (197307936).

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

85738464 is a wasteful number, since it uses less digits than its factorization.

85738464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 85738464 is about 9259.5066823238. The cubic root of 85738464 is about 440.9525918155.

The spelling of 85738464 in words is "eighty-five million, seven hundred thirty-eight thousand, four hundred sixty-four".