85947264 has 128 divisors (see below), whose sum is σ = 273319200. Its totient is φ = 26431488.

The previous prime is 85947233. The next prime is 85947269. The reversal of 85947264 is 46274958.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85947269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43972 + ... + 45884.

Almost surely, 2^85947264 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 85947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136659600).

85947264 is an abundant number, since it is smaller than the sum of its proper divisors (187371936).

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

85947264 is a wasteful number, since it uses less digits than its factorization.

85947264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1931 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 85947264 is about 9270.7747249084. The cubic root of 85947264 is about 441.3102541658.

The spelling of 85947264 in words is "eighty-five million, nine hundred forty-seven thousand, two hundred sixty-four".