938064960 has 672 divisors, whose sum is σ = 4057497600. Its totient is φ = 194088960.

The previous prime is 938064917. The next prime is 938064961. The reversal of 938064960 is 69460839.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (938064961) 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, 11874201 + ... + 11874279.

Almost surely, 2^938064960 is an apocalyptic number.

938064960 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 938064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028748800).

938064960 is an abundant number, since it is smaller than the sum of its proper divisors (3119432640).

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

938064960 is a wasteful number, since it uses less digits than its factorization.

938064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 938064960 is about 30627.8461534598. The cubic root of 938064960 is about 978.9134702467.

The spelling of 938064960 in words is "nine hundred thirty-eight million, sixty-four thousand, nine hundred sixty".