918487752 has 192 divisors, whose sum is σ = 2919530880. Its totient is φ = 238629888.

The previous prime is 918487729. The next prime is 918487753. The reversal of 918487752 is 257784819.

918487752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 918487695 and 918487704.

It is not an unprimeable number, because it can be changed into a prime (918487753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115613 + ... + 1116435.

It is an arithmetic number, because the mean of its divisors is an integer number (15205890).

Almost surely, 2^918487752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 918487752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459765440).

918487752 is an abundant number, since it is smaller than the sum of its proper divisors (2001043128).

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

918487752 is a wasteful number, since it uses less digits than its factorization.

918487752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 921 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 51.

The square root of 918487752 is about 30306.5628536131. The cubic root of 918487752 is about 972.0556370463.

The spelling of 918487752 in words is "nine hundred eighteen million, four hundred eighty-seven thousand, seven hundred fifty-two".