261749862 has 72 divisors (see below), whose sum is σ = 636880608. Its totient is φ = 77600160.

The previous prime is 261749861. The next prime is 261749869. The reversal of 261749862 is 268947162.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261749861) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101088 + ... + 103644.

It is an arithmetic number, because the mean of its divisors is an integer number (8845564).

Almost surely, 2^261749862 is an apocalyptic number.

261749862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 261749862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318440304).

261749862 is an abundant number, since it is smaller than the sum of its proper divisors (375130746).

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

261749862 is a wasteful number, since it uses less digits than its factorization.

261749862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2620 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 261749862 is about 16178.6854224934. The cubic root of 261749862 is about 639.6790887889.

The spelling of 261749862 in words is "two hundred sixty-one million, seven hundred forty-nine thousand, eight hundred sixty-two".