893748240 has 600 divisors, whose sum is σ = 3901143168. Its totient is φ = 181762560.

The previous prime is 893748227. The next prime is 893748257. The reversal of 893748240 is 42847398.

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

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, 19015897 + ... + 19015943.

Almost surely, 2^893748240 is an apocalyptic number.

893748240 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 893748240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950571584).

893748240 is an abundant number, since it is smaller than the sum of its proper divisors (3007394928).

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

893748240 is a wasteful number, since it uses less digits than its factorization.

893748240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 893748240 is about 29895.6224220203. The cubic root of 893748240 is about 963.2486296883.

The spelling of 893748240 in words is "eight hundred ninety-three million, seven hundred forty-eight thousand, two hundred forty".