681830400 has 288 divisors, whose sum is σ = 2364223680. Its totient is φ = 173015040.

The previous prime is 681830389. The next prime is 681830417. The reversal of 681830400 is 4038186.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3532704 + ... + 3532896.

It is an arithmetic number, because the mean of its divisors is an integer number (8209110).

Almost surely, 2^681830400 is an apocalyptic number.

681830400 is a gapful number since it is divisible by the number (60) 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 681830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182111840).

681830400 is an abundant number, since it is smaller than the sum of its proper divisors (1682393280).

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

681830400 is a wasteful number, since it uses less digits than its factorization.

681830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 681830400 is about 26111.8823526761. The cubic root of 681830400 is about 880.1542429358.

Adding to 681830400 its reverse (4038186), we get a palindrome (685868586).

The spelling of 681830400 in words is "six hundred eighty-one million, eight hundred thirty thousand, four hundred".