261768402 has 128 divisors (see below), whose sum is σ = 696729600. Its totient is φ = 71280000.

The previous prime is 261768401. The next prime is 261768421. The reversal of 261768402 is 204867162.

261768402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (261768401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1042777 + ... + 1043027.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2^261768402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261768402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

261768402 is an abundant number, since it is smaller than the sum of its proper divisors (434961198).

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

261768402 is a wasteful number, since it uses less digits than its factorization.

261768402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 261768402 is about 16179.2583884429. The cubic root of 261768402 is about 639.6941914652.

The spelling of 261768402 in words is "two hundred sixty-one million, seven hundred sixty-eight thousand, four hundred two".