918873648 has 240 divisors, whose sum is σ = 3249792000. Its totient is φ = 235422720.

The previous prime is 918873643. The next prime is 918873679. The reversal of 918873648 is 846378819.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 918873594 and 918873603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918873643) 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, 875428 + ... + 876476.

It is an arithmetic number, because the mean of its divisors is an integer number (13540800).

Almost surely, 2^918873648 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 918873648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896000).

918873648 is an abundant number, since it is smaller than the sum of its proper divisors (2330918352).

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

918873648 is a wasteful number, since it uses less digits than its factorization.

918873648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1151 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 918873648 is about 30312.9287268650. The cubic root of 918873648 is about 972.1917520389.

The spelling of 918873648 in words is "nine hundred eighteen million, eight hundred seventy-three thousand, six hundred forty-eight".