918747648 has 360 divisors, whose sum is σ = 3332357028. Its totient is φ = 241532928.

The previous prime is 918747647. The next prime is 918747649. The reversal of 918747648 is 846747819.

It is a happy number.

918747648 is a `hidden beast` number, since 91 + 87 + 476 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (918747647) and next prime (918747649).

It can be written as a sum of positive squares in 2 ways, for example, as 669360384 + 249387264 = 25872^2 + 15792^2 .

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 = 918747594 and 918747603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918747647) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2935140 + ... + 2935452.

Almost surely, 2^918747648 is an apocalyptic number.

918747648 is a gapful number since it is divisible by the number (98) 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 918747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666178514).

918747648 is an abundant number, since it is smaller than the sum of its proper divisors (2413609380).

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

918747648 is a wasteful number, since it uses less digits than its factorization.

918747648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 338 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 918747648 is about 30310.8503344924. The cubic root of 918747648 is about 972.1473129366.

The spelling of 918747648 in words is "nine hundred eighteen million, seven hundred forty-seven thousand, six hundred forty-eight".