261099000 has 192 divisors, whose sum is σ = 897755040. Its totient is φ = 68428800.

The previous prime is 261098983. The next prime is 261099011. The reversal of 261099000 is 990162.

It is a happy number.

261099000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602784 + ... + 603216.

Almost surely, 2^261099000 is an apocalyptic number.

261099000 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 261099000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448877520).

261099000 is an abundant number, since it is smaller than the sum of its proper divisors (636656040).

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

261099000 is a wasteful number, since it uses less digits than its factorization.

261099000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 261099000 is about 16158.5581039894. The cubic root of 261099000 is about 639.1484442830.

The spelling of 261099000 in words is "two hundred sixty-one million, ninety-nine thousand".