85604064 has 192 divisors, whose sum is σ = 284497920. Its totient is φ = 21934080.

The previous prime is 85604059. The next prime is 85604081. The reversal of 85604064 is 46040658.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358057 + ... + 358295.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 2^85604064 is an apocalyptic number.

85604064 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 85604064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

85604064 is an abundant number, since it is smaller than the sum of its proper divisors (198893856).

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

85604064 is a wasteful number, since it uses less digits than its factorization.

85604064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 85604064 is about 9252.2464299218. The cubic root of 85604064 is about 440.7220650905.

The spelling of 85604064 in words is "eighty-five million, six hundred four thousand, sixty-four".