261492192 has 192 divisors, whose sum is σ = 848977920. Its totient is φ = 77760000.

The previous prime is 261492191. The next prime is 261492211. The reversal of 261492192 is 291294162.

261492192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261492191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347817 + ... + 348567.

It is an arithmetic number, because the mean of its divisors is an integer number (4421760).

Almost surely, 2^261492192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261492192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424488960).

261492192 is an abundant number, since it is smaller than the sum of its proper divisors (587485728).

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

261492192 is a wasteful number, since it uses less digits than its factorization.

261492192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 800 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 261492192 is about 16170.7202065956. The cubic root of 261492192 is about 639.4691170436.

The spelling of 261492192 in words is "two hundred sixty-one million, four hundred ninety-two thousand, one hundred ninety-two".