938160720 has 480 divisors, whose sum is σ = 3867252480. Its totient is φ = 199065600.

The previous prime is 938160709. The next prime is 938160721. The reversal of 938160720 is 27061839.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938160721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9288670 + ... + 9288770.

It is an arithmetic number, because the mean of its divisors is an integer number (8056776).

Almost surely, 2^938160720 is an apocalyptic number.

938160720 is a gapful number since it is divisible by the number (90) 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 938160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933626240).

938160720 is an abundant number, since it is smaller than the sum of its proper divisors (2929091760).

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

938160720 is a wasteful number, since it uses less digits than its factorization.

938160720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 938160720 is about 30629.4093968526. The cubic root of 938160720 is about 978.9467790858.

The spelling of 938160720 in words is "nine hundred thirty-eight million, one hundred sixty thousand, seven hundred twenty".