23849280 has 378 divisors, whose sum is σ = 103329486. Its totient is φ = 5031936.

The previous prime is 23849279. The next prime is 23849297. The reversal of 23849280 is 8294832.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 23736384 = 336^2 + 4872^2 .

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1834554 + ... + 1834566.

Almost surely, 2^23849280 is an apocalyptic number.

23849280 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 23849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51664743).

23849280 is an abundant number, since it is smaller than the sum of its proper divisors (79480206).

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

23849280 is a wasteful number, since it uses less digits than its factorization.

23849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 23849280 is about 4883.5724628595. The cubic root of 23849280 is about 287.8448238125.

It can be divided in two parts, 2384 and 9280, that added together give a square (11664 = 108²).

The spelling of 23849280 in words is "twenty-three million, eight hundred forty-nine thousand, two hundred eighty".