261763488 has 252 divisors, whose sum is σ = 902741490. Its totient is φ = 74462976.

The previous prime is 261763487. The next prime is 261763519. The reversal of 261763488 is 884367162.

261763488 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 634 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165173904 + 96589584 = 12852^2 + 9828^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×261763488² = 137040247299852288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (261763487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1142958 + ... + 1143186.

Almost surely, 2^261763488 is an apocalyptic number.

261763488 is a gapful number since it is divisible by the number (28) 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 261763488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451370745).

261763488 is an abundant number, since it is smaller than the sum of its proper divisors (640978002).

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

261763488 is an equidigital number, since it uses as much as digits as its factorization.

261763488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 261763488 is about 16179.1065266287. The cubic root of 261763488 is about 639.6901885923.

The spelling of 261763488 in words is "two hundred sixty-one million, seven hundred sixty-three thousand, four hundred eighty-eight".