618948864 has 180 divisors, whose sum is σ = 1943966640. Its totient is φ = 195333120.

The previous prime is 618948857. The next prime is 618948871. The reversal of 618948864 is 468849816.

It is an interprime number because it is at equal distance from previous prime (618948857) and next prime (618948871).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 618948864.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 393199 + ... + 394769.

Almost surely, 2^618948864 is an apocalyptic number.

618948864 is a gapful number since it is divisible by the number (64) 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 618948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971983320).

618948864 is an abundant number, since it is smaller than the sum of its proper divisors (1325017776).

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

618948864 is a wasteful number, since it uses less digits than its factorization.

618948864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1595 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 618948864 is about 24878.6829233382. The cubic root of 618948864 is about 852.2197409805.

The spelling of 618948864 in words is "six hundred eighteen million, nine hundred forty-eight thousand, eight hundred sixty-four".