938415640 has 128 divisors (see below), whose sum is σ = 2414448000. Its totient is φ = 326115328.

The previous prime is 938415637. The next prime is 938415649. The reversal of 938415640 is 46514839.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 938415593 and 938415602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938415649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452526 + ... + 454594.

It is an arithmetic number, because the mean of its divisors is an integer number (18862875).

Almost surely, 2^938415640 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 938415640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207224000).

938415640 is an abundant number, since it is smaller than the sum of its proper divisors (1476032360).

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

938415640 is a wasteful number, since it uses less digits than its factorization.

938415640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 938415640 is about 30633.5704742363. The cubic root of 938415640 is about 979.0354385617.

The spelling of 938415640 in words is "nine hundred thirty-eight million, four hundred fifteen thousand, six hundred forty".