261077328 has 120 divisors (see below), whose sum is σ = 790202400. Its totient is φ = 80186112.

The previous prime is 261077303. The next prime is 261077351. The reversal of 261077328 is 823770162.

261077328 is a `hidden beast` number, since 2 + 610 + 7 + 7 + 32 + 8 = 666.

It is a super-2 number, since 2×261077328² = 136322742391239168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 261077292 and 261077301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99943 + ... + 102521.

It is an arithmetic number, because the mean of its divisors is an integer number (6585020).

Almost surely, 2^261077328 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 261077328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395101200).

261077328 is an abundant number, since it is smaller than the sum of its proper divisors (529125072).

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

261077328 is a wasteful number, since it uses less digits than its factorization.

261077328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 261077328 is about 16157.8874856833. The cubic root of 261077328 is about 639.1307600479.

The spelling of 261077328 in words is "two hundred sixty-one million, seventy-seven thousand, three hundred twenty-eight".