938762240 has 224 divisors, whose sum is σ = 2543165856. Its totient is φ = 330301440.

The previous prime is 938762137. The next prime is 938762249. The reversal of 938762240 is 42267839.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938762249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21831659 + ... + 21831701.

It is an arithmetic number, because the mean of its divisors is an integer number (11353419).

Almost surely, 2^938762240 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 938762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271582928).

938762240 is an abundant number, since it is smaller than the sum of its proper divisors (1604403616).

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

938762240 is a wasteful number, since it uses less digits than its factorization.

938762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 938762240 is about 30639.2271442998. The cubic root of 938762240 is about 979.1559579775.

The spelling of 938762240 in words is "nine hundred thirty-eight million, seven hundred sixty-two thousand, two hundred forty".