261946776 has 256 divisors, whose sum is σ = 859299840. Its totient is φ = 64696320.

The previous prime is 261946753. The next prime is 261946823. The reversal of 261946776 is 677649162.

It is a super-2 number, since 2×261946776² = 137232226913588352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3588276 + ... + 3588348.

It is an arithmetic number, because the mean of its divisors is an integer number (3356640).

Almost surely, 2^261946776 is an apocalyptic number.

261946776 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 261946776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429649920).

261946776 is an abundant number, since it is smaller than the sum of its proper divisors (597353064).

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

261946776 is a wasteful number, since it uses less digits than its factorization.

261946776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 261946776 is about 16184.7698778821. The cubic root of 261946776 is about 639.8394584300.

The spelling of 261946776 in words is "two hundred sixty-one million, nine hundred forty-six thousand, seven hundred seventy-six".