893914080 has 96 divisors (see below), whose sum is σ = 2891990304. Its totient is φ = 231929856.

The previous prime is 893914079. The next prime is 893914097. The reversal of 893914080 is 80419398.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7407 + ... + 42926.

It is an arithmetic number, because the mean of its divisors is an integer number (30124899).

Almost surely, 2^893914080 is an apocalyptic number.

893914080 is a gapful number since it is divisible by the number (80) 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 893914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445995152).

893914080 is an abundant number, since it is smaller than the sum of its proper divisors (1998076224).

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

893914080 is a wasteful number, since it uses less digits than its factorization.

893914080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50388 (or 50380 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 893914080 is about 29898.3959435954. The cubic root of 893914080 is about 963.3082047327.

The spelling of 893914080 in words is "eight hundred ninety-three million, nine hundred fourteen thousand, eighty".