261969120 has 192 divisors, whose sum is σ = 1047997440. Its totient is φ = 59871744.

The previous prime is 261969109. The next prime is 261969137. The reversal of 261969120 is 21969162.

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

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, 25909 + ... + 34571.

It is an arithmetic number, because the mean of its divisors is an integer number (5458320).

Almost surely, 2^261969120 is an apocalyptic number.

261969120 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 261969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523998720).

261969120 is an abundant number, since it is smaller than the sum of its proper divisors (786028320).

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

261969120 is a wasteful number, since it uses less digits than its factorization.

261969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 261969120 is about 16185.4601417445. The cubic root of 261969120 is about 639.8576506325.

The spelling of 261969120 in words is "two hundred sixty-one million, nine hundred sixty-nine thousand, one hundred twenty".