893444640 has 144 divisors (see below), whose sum is σ = 3093660864. Its totient is φ = 216578560.

The previous prime is 893444633. The next prime is 893444641. The reversal of 893444640 is 46444398.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 893444592 and 893444601.

It is not an unprimeable number, because it can be changed into a prime (893444641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50389 + ... + 65771.

It is an arithmetic number, because the mean of its divisors is an integer number (21483756).

Almost surely, 2^893444640 is an apocalyptic number.

893444640 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 893444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546830432).

893444640 is an abundant number, since it is smaller than the sum of its proper divisors (2200216224).

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

893444640 is a wasteful number, since it uses less digits than its factorization.

893444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15423 (or 15404 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 893444640 is about 29890.5443242508. The cubic root of 893444640 is about 963.1395477378.

The spelling of 893444640 in words is "eight hundred ninety-three million, four hundred forty-four thousand, six hundred forty".