85452864 has 168 divisors, whose sum is σ = 272418048. Its totient is φ = 23546880.

The previous prime is 85452847. The next prime is 85452877. The reversal of 85452864 is 46825458.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 291502 + ... + 291794.

It is an arithmetic number, because the mean of its divisors is an integer number (1621536).

Almost surely, 2^85452864 is an apocalyptic number.

85452864 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 85452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136209024).

85452864 is an abundant number, since it is smaller than the sum of its proper divisors (186965184).

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

85452864 is a wasteful number, since it uses less digits than its factorization.

85452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 85452864 is about 9244.0718300974. The cubic root of 85452864 is about 440.4624339283.

The spelling of 85452864 in words is "eighty-five million, four hundred fifty-two thousand, eight hundred sixty-four".