893130840 has 256 divisors, whose sum is σ = 3473280000. Its totient is φ = 204059520.

The previous prime is 893130809. The next prime is 893130851. The reversal of 893130840 is 48031398.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 893130795 and 893130804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369235 + ... + 371645.

It is an arithmetic number, because the mean of its divisors is an integer number (13567500).

Almost surely, 2^893130840 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 893130840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736640000).

893130840 is an abundant number, since it is smaller than the sum of its proper divisors (2580149160).

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

893130840 is a wasteful number, since it uses less digits than its factorization.

893130840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 893130840 is about 29885.2947116136. The cubic root of 893130840 is about 963.0267750050.

The spelling of 893130840 in words is "eight hundred ninety-three million, one hundred thirty thousand, eight hundred forty".