938961072 has 400 divisors, whose sum is σ = 3327287040. Its totient is φ = 249951744.

The previous prime is 938961061. The next prime is 938961073. The reversal of 938961072 is 270169839.

It is not an unprimeable number, because it can be changed into a prime (938961073) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11312743 + ... + 11312825.

Almost surely, 2^938961072 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 938961072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663643520).

938961072 is an abundant number, since it is smaller than the sum of its proper divisors (2388325968).

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

938961072 is a wasteful number, since it uses less digits than its factorization.

938961072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 938961072 is about 30642.4717018716. The cubic root of 938961072 is about 979.2250822583.

The spelling of 938961072 in words is "nine hundred thirty-eight million, nine hundred sixty-one thousand, seventy-two".