261902928 has 80 divisors (see below), whose sum is σ = 776061440. Its totient is φ = 74556288.

The previous prime is 261902917. The next prime is 261902939. The reversal of 261902928 is 829209162.

It is an interprime number because it is at equal distance from previous prime (261902917) and next prime (261902939).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 101883 + ... + 104421.

It is an arithmetic number, because the mean of its divisors is an integer number (9700768).

Almost surely, 2^261902928 is an apocalyptic number.

261902928 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 261902928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388030720).

261902928 is an abundant number, since it is smaller than the sum of its proper divisors (514158512).

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

261902928 is a wasteful number, since it uses less digits than its factorization.

261902928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 261902928 is about 16183.4152143483. The cubic root of 261902928 is about 639.8037549351.

The spelling of 261902928 in words is "two hundred sixty-one million, nine hundred two thousand, nine hundred twenty-eight".