38568960 has 264 divisors, whose sum is σ = 143060736. Its totient is φ = 9953280.

The previous prime is 38568931. The next prime is 38568967. The reversal of 38568960 is 6986583.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38568967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244145 + ... + 1244175.

Almost surely, 2^38568960 is an apocalyptic number.

38568960 is a gapful number since it is divisible by the number (30) 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 38568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71530368).

38568960 is an abundant number, since it is smaller than the sum of its proper divisors (104491776).

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

38568960 is an equidigital number, since it uses as much as digits as its factorization.

38568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 38568960 is about 6210.3912920202. The cubic root of 38568960 is about 337.8671559929.

The spelling of 38568960 in words is "thirty-eight million, five hundred sixty-eight thousand, nine hundred sixty".