260993880 has 512 divisors, whose sum is σ = 1105920000. Its totient is φ = 53374464.

The previous prime is 260993879. The next prime is 260993891. The reversal of 260993880 is 88399062.

260993880 is a `hidden beast` number, since 2 + 609 + 9 + 38 + 8 + 0 = 666.

It is a super-3 number, since 3×260993880³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3303681 + ... + 3303759.

It is an arithmetic number, because the mean of its divisors is an integer number (2160000).

Almost surely, 2^260993880 is an apocalyptic number.

260993880 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 260993880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960000).

260993880 is an abundant number, since it is smaller than the sum of its proper divisors (844926120).

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

260993880 is a wasteful number, since it uses less digits than its factorization.

260993880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 260993880 is about 16155.3050110482. The cubic root of 260993880 is about 639.0626577893.

The spelling of 260993880 in words is "two hundred sixty million, nine hundred ninety-three thousand, eight hundred eighty".