920124720 has 240 divisors, whose sum is σ = 3180733920. Its totient is φ = 238301184.

The previous prime is 920124703. The next prime is 920124727. The reversal of 920124720 is 27421029.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (920124727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5318554 + ... + 5318726.

It is an arithmetic number, because the mean of its divisors is an integer number (13253058).

Almost surely, 2^920124720 is an apocalyptic number.

920124720 is a gapful number since it is divisible by the number (90) 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 920124720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590366960).

920124720 is an abundant number, since it is smaller than the sum of its proper divisors (2260609200).

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

920124720 is a wasteful number, since it uses less digits than its factorization.

920124720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 920124720 is about 30333.5576548482. The cubic root of 920124720 is about 972.6327739715.

Adding to 920124720 its reverse (27421029), we get a palindrome (947545749).

The spelling of 920124720 in words is "nine hundred twenty million, one hundred twenty-four thousand, seven hundred twenty".