261788004 has 96 divisors (see below), whose sum is σ = 721392000. Its totient is φ = 81865728.

The previous prime is 261787997. The next prime is 261788029. The reversal of 261788004 is 400887162.

261788004 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 261788004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231312 + ... + 232440.

It is an arithmetic number, because the mean of its divisors is an integer number (7514500).

Almost surely, 2^261788004 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 261788004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360696000).

261788004 is an abundant number, since it is smaller than the sum of its proper divisors (459603996).

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

261788004 is a wasteful number, since it uses less digits than its factorization.

261788004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 261788004 is about 16179.8641527054. The cubic root of 261788004 is about 639.7101584707.

The spelling of 261788004 in words is "two hundred sixty-one million, seven hundred eighty-eight thousand, four".