261761600 has 42 divisors (see below), whose sum is σ = 644101074. Its totient is φ = 104704000.

The previous prime is 261761579. The next prime is 261761623. The reversal of 261761600 is 6167162.

It can be written as a sum of positive squares in 3 ways, for example, as 27793984 + 233967616 = 5272^2 + 15296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80201 + ... + 83400.

Almost surely, 2^261761600 is an apocalyptic number.

261761600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261761600 is an abundant number, since it is smaller than the sum of its proper divisors (382339474).

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

261761600 is a wasteful number, since it uses less digits than its factorization.

261761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163623 (or 163608 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 261761600 is about 16179.0481796674. The cubic root of 261761600 is about 639.6886506416.

The spelling of 261761600 in words is "two hundred sixty-one million, seven hundred sixty-one thousand, six hundred".