23049600 has 240 divisors, whose sum is σ = 88567620. Its totient is φ = 5268480.

The previous prime is 23049571. The next prime is 23049613. The reversal of 23049600 is 694032.

It is a Cunningham number, because it is equal to 4801²-1.

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 (24).

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 29 ways as a sum of consecutive naturals, for example, 3292797 + ... + 3292803.

Almost surely, 2^23049600 is an apocalyptic number.

23049600 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 23049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44283810).

23049600 is an abundant number, since it is smaller than the sum of its proper divisors (65518020).

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

23049600 is an frugal number, since it uses more digits than its factorization.

23049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 23049600 is about 4800.9998958550. Note that the first 3 decimals coincide. The cubic root of 23049600 is about 284.5909799082.

Multiplying 23049600 by its sum of digits (24), we get a square (553190400 = 23520²).

23049600 divided by its sum of digits (24) gives a square (960400 = 980²).

The spelling of 23049600 in words is "twenty-three million, forty-nine thousand, six hundred".