260962416 has 480 divisors, whose sum is σ = 974937600. Its totient is φ = 63866880.

The previous prime is 260962411. The next prime is 260962421. The reversal of 260962416 is 614269062.

260962416 is a `hidden beast` number, since 2 + 609 + 6 + 2 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (260962411) and next prime (260962421).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260962411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8998690 + ... + 8998718.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^260962416 is an apocalyptic number.

260962416 is a gapful number since it is divisible by the number (26) 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 260962416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

260962416 is an abundant number, since it is smaller than the sum of its proper divisors (713975184).

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

260962416 is a wasteful number, since it uses less digits than its factorization.

260962416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 260962416 is about 16154.3311839271. The cubic root of 260962416 is about 639.0369761201.

It can be divided in two parts, 2609 and 62416, that added together give a square (65025 = 255²).

The spelling of 260962416 in words is "two hundred sixty million, nine hundred sixty-two thousand, four hundred sixteen".