261389700 has 288 divisors, whose sum is σ = 988686720. Its totient is φ = 58406400.

The previous prime is 261389663. The next prime is 261389729. The reversal of 261389700 is 7983162.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385762 + ... + 386438.

It is an arithmetic number, because the mean of its divisors is an integer number (3432940).

Almost surely, 2^261389700 is an apocalyptic number.

261389700 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 261389700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494343360).

261389700 is an abundant number, since it is smaller than the sum of its proper divisors (727297020).

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

261389700 is a wasteful number, since it uses less digits than its factorization.

261389700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 711 counting only the distinct ones).

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

The square root of 261389700 is about 16167.5508349286. The cubic root of 261389700 is about 639.3855593753.

The spelling of 261389700 in words is "two hundred sixty-one million, three hundred eighty-nine thousand, seven hundred".