938072520 has 384 divisors, whose sum is σ = 3894359040. Its totient is φ = 190149120.

The previous prime is 938072467. The next prime is 938072521. The reversal of 938072520 is 25270839.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (938072521) 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, 1191567 + ... + 1192353.

It is an arithmetic number, because the mean of its divisors is an integer number (10141560).

Almost surely, 2^938072520 is an apocalyptic number.

938072520 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 938072520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947179520).

938072520 is an abundant number, since it is smaller than the sum of its proper divisors (2956286520).

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

938072520 is a wasteful number, since it uses less digits than its factorization.

938072520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 938072520 is about 30627.9695703127. The cubic root of 938072520 is about 978.9160999743.

The spelling of 938072520 in words is "nine hundred thirty-eight million, seventy-two thousand, five hundred twenty".