261934920 has 192 divisors, whose sum is σ = 927828720. Its totient is φ = 63700992.

The previous prime is 261934919. The next prime is 261934927. The reversal of 261934920 is 29439162.

261934920 is a `hidden beast` number, since 2 + 619 + 34 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 146458404 + 115476516 = 12102^2 + 10746^2 .

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

It is not an unprimeable number, because it can be changed into a prime (261934927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453672 + ... + 454248.

Almost surely, 2^261934920 is an apocalyptic number.

261934920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261934920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463914360).

261934920 is an abundant number, since it is smaller than the sum of its proper divisors (665893800).

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

261934920 is a wasteful number, since it uses less digits than its factorization.

261934920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 261934920 is about 16184.4036034696. The cubic root of 261934920 is about 639.8298050045.

It can be divided in two parts, 26193 and 4920, that added together give a palindrome (31113).

The spelling of 261934920 in words is "two hundred sixty-one million, nine hundred thirty-four thousand, nine hundred twenty".