893112480 has 672 divisors, whose sum is σ = 3701859840. Its totient is φ = 201553920.

The previous prime is 893112469. The next prime is 893112503. The reversal of 893112480 is 84211398.

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 111 ways as a sum of consecutive naturals, for example, 28810065 + ... + 28810095.

It is an arithmetic number, because the mean of its divisors is an integer number (5508720).

Almost surely, 2^893112480 is an apocalyptic number.

893112480 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 893112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850929920).

893112480 is an abundant number, since it is smaller than the sum of its proper divisors (2808747360).

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

893112480 is a wasteful number, since it uses less digits than its factorization.

893112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 893112480 is about 29884.9875355504. The cubic root of 893112480 is about 963.0201760119.

The spelling of 893112480 in words is "eight hundred ninety-three million, one hundred twelve thousand, four hundred eighty".