682976448 has 560 divisors, whose sum is σ = 2655417600. Its totient is φ = 168376320.

The previous prime is 682976447. The next prime is 682976449. The reversal of 682976448 is 844679286.

It is an interprime number because it is at equal distance from previous prime (682976447) and next prime (682976449).

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 junction number, because it is equal to n+sod(n) for n = 682976394 and 682976403.

It is not an unprimeable number, because it can be changed into a prime (682976447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11575843 + ... + 11575901.

Almost surely, 2^682976448 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 682976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327708800).

682976448 is an abundant number, since it is smaller than the sum of its proper divisors (1972441152).

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

682976448 is a wasteful number, since it uses less digits than its factorization.

682976448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 682976448 is about 26133.8180907421. The cubic root of 682976448 is about 880.6470998021.

The spelling of 682976448 in words is "six hundred eighty-two million, nine hundred seventy-six thousand, four hundred forty-eight".