857624064 has 160 divisors (see below), whose sum is σ = 2514910464. Its totient is φ = 257556480.

The previous prime is 857624063. The next prime is 857624077. The reversal of 857624064 is 460426758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857624063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3260797 + ... + 3261059.

Almost surely, 2^857624064 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 857624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257455232).

857624064 is an abundant number, since it is smaller than the sum of its proper divisors (1657286400).

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

857624064 is a wasteful number, since it uses less digits than its factorization.

857624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 857624064 is about 29285.2192069651. The cubic root of 857624064 is about 950.0919814909.

It can be divided in two parts, 8576 and 24064, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 857624064 in words is "eight hundred fifty-seven million, six hundred twenty-four thousand, sixty-four".