893528064 has 384 divisors, whose sum is σ = 3137097600. Its totient is φ = 247726080.

The previous prime is 893528063. The next prime is 893528099. The reversal of 893528064 is 460825398.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (893528063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7907272 + ... + 7907384.

It is an arithmetic number, because the mean of its divisors is an integer number (8169525).

Almost surely, 2^893528064 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 893528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568548800).

893528064 is an abundant number, since it is smaller than the sum of its proper divisors (2243569536).

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

893528064 is a wasteful number, since it uses less digits than its factorization.

893528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 893528064 is about 29891.9397831589. The cubic root of 893528064 is about 963.1695240226.

The spelling of 893528064 in words is "eight hundred ninety-three million, five hundred twenty-eight thousand, sixty-four".