893765340 has 360 divisors, whose sum is σ = 3203367552. Its totient is φ = 207152640.

The previous prime is 893765311. The next prime is 893765381. The reversal of 893765340 is 43567398.

893765340 is a `hidden beast` number, since 89 + 37 + 6 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24155802 + ... + 24155838.

Almost surely, 2^893765340 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 893765340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601683776).

893765340 is an abundant number, since it is smaller than the sum of its proper divisors (2309602212).

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

893765340 is a wasteful number, since it uses less digits than its factorization.

893765340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 893765340 is about 29895.9084157013. The cubic root of 893765340 is about 963.2547728972.

The spelling of 893765340 in words is "eight hundred ninety-three million, seven hundred sixty-five thousand, three hundred forty".