237642240 has 320 divisors, whose sum is σ = 866194560. Its totient is φ = 55050240.

The previous prime is 237642239. The next prime is 237642247. The reversal of 237642240 is 42246732.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 237642198 and 237642207.

It is not an unprimeable number, because it can be changed into a prime (237642247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2449872 + ... + 2449968.

It is an arithmetic number, because the mean of its divisors is an integer number (2706858).

Almost surely, 2^237642240 is an apocalyptic number.

237642240 is a gapful number since it is divisible by the number (20) 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 237642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433097280).

237642240 is an abundant number, since it is smaller than the sum of its proper divisors (628552320).

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

237642240 is a wasteful number, since it uses less digits than its factorization.

237642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 237642240 is about 15415.6491916494. The cubic root of 237642240 is about 619.4047703920.

Adding to 237642240 its reverse (42246732), we get a palindrome (279888972).

The spelling of 237642240 in words is "two hundred thirty-seven million, six hundred forty-two thousand, two hundred forty".