678936384 has 336 divisors, whose sum is σ = 2401580160. Its totient is φ = 184135680.

The previous prime is 678936359. The next prime is 678936397. The reversal of 678936384 is 483639876.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×678936384² = 921909227037990912, which contains 22 as substring.

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 678936384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16559404 + ... + 16559444.

It is an arithmetic number, because the mean of its divisors is an integer number (7147560).

Almost surely, 2^678936384 is an apocalyptic number.

678936384 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 678936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200790080).

678936384 is an abundant number, since it is smaller than the sum of its proper divisors (1722643776).

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

678936384 is a wasteful number, since it uses less digits than its factorization.

678936384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 90 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 678936384 is about 26056.4077339913. The cubic root of 678936384 is about 878.9072110233.

The spelling of 678936384 in words is "six hundred seventy-eight million, nine hundred thirty-six thousand, three hundred eighty-four".