23061600 has 108 divisors (see below), whose sum is σ = 81346356. Its totient is φ = 6147840.

The previous prime is 23061589. The next prime is 23061637. The reversal of 23061600 is 616032.

It is a happy number.

23061600 is a `hidden beast` number, since 2 + 3 + 0 + 61 + 600 = 666.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5599 + ... + 8801.

It is an arithmetic number, because the mean of its divisors is an integer number (753207).

Almost surely, 2^23061600 is an apocalyptic number.

23061600 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 23061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40673178).

23061600 is an abundant number, since it is smaller than the sum of its proper divisors (58284756).

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

23061600 is a wasteful number, since it uses less digits than its factorization.

23061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23061600 is about 4802.2494729033. The cubic root of 23061600 is about 284.6403589181.

Adding to 23061600 its reverse (616032), we get a palindrome (23677632).

The spelling of 23061600 in words is "twenty-three million, sixty-one thousand, six hundred".