261418320 has 160 divisors (see below), whose sum is σ = 925059840. Its totient is φ = 67806720.

The previous prime is 261418303. The next prime is 261418343. The reversal of 261418320 is 23814162.

261418320 is a `hidden beast` number, since 2 + 614 + 18 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78285 + ... + 81555.

It is an arithmetic number, because the mean of its divisors is an integer number (5781624).

Almost surely, 2^261418320 is an apocalyptic number.

261418320 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 261418320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462529920).

261418320 is an abundant number, since it is smaller than the sum of its proper divisors (663641520).

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

261418320 is a wasteful number, since it uses less digits than its factorization.

261418320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3318 counting only the distinct ones).

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

The square root of 261418320 is about 16168.4359169340. The cubic root of 261418320 is about 639.4088943255.

The spelling of 261418320 in words is "two hundred sixty-one million, four hundred eighteen thousand, three hundred twenty".