241600920 has 128 divisors (see below), whose sum is σ = 798819840. Its totient is φ = 57968640.

The previous prime is 241600883. The next prime is 241600937. The reversal of 241600920 is 29006142.

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 31 ways as a sum of consecutive naturals, for example, 135072 + ... + 136848.

It is an arithmetic number, because the mean of its divisors is an integer number (6240780).

Almost surely, 2^241600920 is an apocalyptic number.

241600920 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 241600920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399409920).

241600920 is an abundant number, since it is smaller than the sum of its proper divisors (557218920).

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

241600920 is a wasteful number, since it uses less digits than its factorization.

241600920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 241600920 is about 15543.5169765404. The cubic root of 241600920 is about 622.8252264198.

The spelling of 241600920 in words is "two hundred forty-one million, six hundred thousand, nine hundred twenty".