261233700 has 216 divisors, whose sum is σ = 947564352. Its totient is φ = 55077120.

The previous prime is 261233669. The next prime is 261233723. The reversal of 261233700 is 7332162.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190417 + ... + 191783.

It is an arithmetic number, because the mean of its divisors is an integer number (4386872).

Almost surely, 2^261233700 is an apocalyptic number.

261233700 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 261233700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473782176).

261233700 is an abundant number, since it is smaller than the sum of its proper divisors (686330652).

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

261233700 is a wasteful number, since it uses less digits than its factorization.

261233700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 261233700 is about 16162.7256364760. The cubic root of 261233700 is about 639.2583368201.

Adding to 261233700 its reverse (7332162), we get a palindrome (268565862).

The spelling of 261233700 in words is "two hundred sixty-one million, two hundred thirty-three thousand, seven hundred".