24955920 has 240 divisors, whose sum is σ = 96100992. Its totient is φ = 5744640.

The previous prime is 24955913. The next prime is 24955927. The reversal of 24955920 is 2955942.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (24955913) and next prime (24955927).

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 (36).

It is not an unprimeable number, because it can be changed into a prime (24955927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182092 + ... + 182228.

Almost surely, 2^24955920 is an apocalyptic number.

24955920 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 24955920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48050496).

24955920 is an abundant number, since it is smaller than the sum of its proper divisors (71145072).

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

24955920 is a wasteful number, since it uses less digits than its factorization.

24955920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 24955920 is about 4995.5900552387. The cubic root of 24955920 is about 292.2298184485.

It can be divided in two parts, 249 and 55920, that added together give a square (56169 = 237²).

The spelling of 24955920 in words is "twenty-four million, nine hundred fifty-five thousand, nine hundred twenty".