237984768 has 396 divisors, whose sum is σ = 873692352. Its totient is φ = 61931520.

The previous prime is 237984767. The next prime is 237984779. The reversal of 237984768 is 867489732.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (237984763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7676913 + ... + 7676943.

Almost surely, 2^237984768 is an apocalyptic number.

237984768 is a gapful number since it is divisible by the number (28) 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 237984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436846176).

237984768 is an abundant number, since it is smaller than the sum of its proper divisors (635707584).

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

237984768 is a wasteful number, since it uses less digits than its factorization.

237984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 237984768 is about 15426.7549406867. The cubic root of 237984768 is about 619.7022225959.

The spelling of 237984768 in words is "two hundred thirty-seven million, nine hundred eighty-four thousand, seven hundred sixty-eight".