261350496 has 192 divisors, whose sum is σ = 842607360. Its totient is φ = 78151680.

The previous prime is 261350477. The next prime is 261350497. The reversal of 261350496 is 694053162.

It is a happy number.

261350496 is a `hidden beast` number, since 2 + 61 + 3 + 504 + 96 = 666.

261350496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 261350496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261350497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1016800 + ... + 1017056.

It is an arithmetic number, because the mean of its divisors is an integer number (4388580).

Almost surely, 2^261350496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261350496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421303680).

261350496 is an abundant number, since it is smaller than the sum of its proper divisors (581256864).

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

261350496 is a wasteful number, since it uses less digits than its factorization.

261350496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 261350496 is about 16166.3383609276. The cubic root of 261350496 is about 639.3535921316.

The spelling of 261350496 in words is "two hundred sixty-one million, three hundred fifty thousand, four hundred ninety-six".