260112384 has 255 divisors, whose sum is σ = 903996687. Its totient is φ = 74317824.

The previous prime is 260112371. The next prime is 260112403. The reversal of 260112384 is 483211062.

The square root of 260112384 is 16128.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 37158909 + ... + 37158915.

Almost surely, 2^260112384 is an apocalyptic number.

260112384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

260112384 is the 16128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260112384

260112384 is an abundant number, since it is smaller than the sum of its proper divisors (643884303).

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

260112384 is an frugal number, since it uses more digits than its factorization.

260112384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 260112384 is about 638.3423770705.

Multiplying 260112384 by its product of nonzero digits (2304), we get a square (599298932736 = 774144²).

260112384 divided by its product of nonzero digits (2304) gives a square (112896 = 336²).

The spelling of 260112384 in words is "two hundred sixty million, one hundred twelve thousand, three hundred eighty-four".