261973800 has 288 divisors, whose sum is σ = 976678560. Its totient is φ = 62400000.

The previous prime is 261973793. The next prime is 261973837. The reversal of 261973800 is 8379162.

261973800 is a `hidden beast` number, since 2 + 619 + 7 + 38 + 0 + 0 = 666.

261973800 is digitally balanced in base 3, 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 congruent number.

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, 1999735 + ... + 1999865.

It is an arithmetic number, because the mean of its divisors is an integer number (3391245).

Almost surely, 2^261973800 is an apocalyptic number.

261973800 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 261973800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488339280).

261973800 is an abundant number, since it is smaller than the sum of its proper divisors (714704760).

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

261973800 is a wasteful number, since it uses less digits than its factorization.

261973800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 261973800 is about 16185.6047153018. The cubic root of 261973800 is about 639.8614608984.

The spelling of 261973800 in words is "two hundred sixty-one million, nine hundred seventy-three thousand, eight hundred".