261162000 has 240 divisors, whose sum is σ = 995829120. Its totient is φ = 63264000.

The previous prime is 261161977. The next prime is 261162017. The reversal of 261162000 is 261162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 197341 + ... + 198659.

It is an arithmetic number, because the mean of its divisors is an integer number (4149288).

Almost surely, 2^261162000 is an apocalyptic number.

261162000 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 261162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497914560).

261162000 is an abundant number, since it is smaller than the sum of its proper divisors (734667120).

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

261162000 is a wasteful number, since it uses less digits than its factorization.

261162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 261162000 is about 16160.5074177762. The cubic root of 261162000 is about 639.1998463870.

261162000 divided by its reverse (261162) gives a cube (1000 = 10³).

It can be divided in two parts, 261 and 162000, that added together give a palindrome (162261).

The spelling of 261162000 in words is "two hundred sixty-one million, one hundred sixty-two thousand".