85054464 has 132 divisors (see below), whose sum is σ = 268238880. Its totient is φ = 25743360.

The previous prime is 85054381. The next prime is 85054523. The reversal of 85054464 is 46445058.

85054464 is a `hidden beast` number, since 8 + 50 + 544 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100957 + ... + 101795.

Almost surely, 2^85054464 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 85054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134119440).

85054464 is an abundant number, since it is smaller than the sum of its proper divisors (183184416).

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

85054464 is a wasteful number, since it uses less digits than its factorization.

85054464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 85054464 is about 9222.4977094061. The cubic root of 85054464 is about 439.7768565502.

The spelling of 85054464 in words is "eighty-five million, fifty-four thousand, four hundred sixty-four".