260166816 has 240 divisors, whose sum is σ = 942568704. Its totient is φ = 68553216.

The previous prime is 260166811. The next prime is 260166821. The reversal of 260166816 is 618661062.

It is an interprime number because it is at equal distance from previous prime (260166811) and next prime (260166821).

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 (260166811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235321 + ... + 236423.

Almost surely, 2^260166816 is an apocalyptic number.

260166816 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 260166816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471284352).

260166816 is an abundant number, since it is smaller than the sum of its proper divisors (682401888).

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

260166816 is a wasteful number, since it uses less digits than its factorization.

260166816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 260166816 is about 16129.6874117262. The cubic root of 260166816 is about 638.3869011954.

The spelling of 260166816 in words is "two hundred sixty million, one hundred sixty-six thousand, eight hundred sixteen".