893263140 has 648 divisors, whose sum is σ = 3708746496. Its totient is φ = 179625600.

The previous prime is 893263117. The next prime is 893263159. The reversal of 893263140 is 41362398.

893263140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 893263095 and 893263104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 28814925 + ... + 28814955.

Almost surely, 2^893263140 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 893263140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854373248).

893263140 is an abundant number, since it is smaller than the sum of its proper divisors (2815483356).

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

893263140 is a wasteful number, since it uses less digits than its factorization.

893263140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 893263140 is about 29887.5080928471. The cubic root of 893263140 is about 963.0743238993.

The spelling of 893263140 in words is "eight hundred ninety-three million, two hundred sixty-three thousand, one hundred forty".