261214772 has 96 divisors (see below), whose sum is σ = 602187264. Its totient is φ = 96307200.

The previous prime is 261214757. The next prime is 261214787. The reversal of 261214772 is 277412162.

261214772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261214757) and next prime (261214787).

It is a super-2 number, since 2×261214772² = 136466314222023968, which contains 22 as substring.

It is a congruent number.

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, 342872 + ... + 343632.

It is an arithmetic number, because the mean of its divisors is an integer number (6272784).

Almost surely, 2^261214772 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 261214772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301093632).

261214772 is an abundant number, since it is smaller than the sum of its proper divisors (340972492).

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

261214772 is a wasteful number, since it uses less digits than its factorization.

261214772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 847 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 261214772 is about 16162.1400810660. The cubic root of 261214772 is about 639.2428970382.

The spelling of 261214772 in words is "two hundred sixty-one million, two hundred fourteen thousand, seven hundred seventy-two".