260189040 has 80 divisors (see below), whose sum is σ = 849052800. Its totient is φ = 65730816.

The previous prime is 260188991. The next prime is 260189047. The reversal of 260189040 is 40981062.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×260189040² = 135396673072243200, which contains 22 as substring.

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 = 260188989 and 260189007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260189047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23970 + ... + 33089.

It is an arithmetic number, because the mean of its divisors is an integer number (10613160).

Almost surely, 2^260189040 is an apocalyptic number.

260189040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260189040 is an abundant number, since it is smaller than the sum of its proper divisors (588863760).

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

260189040 is a wasteful number, since it uses less digits than its factorization.

260189040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57094 (or 57088 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 260189040 is about 16130.3763130313. The cubic root of 260189040 is about 638.4050781312.

The spelling of 260189040 in words is "two hundred sixty million, one hundred eighty-nine thousand, forty".