682016400 has 540 divisors, whose sum is σ = 2743462800. Its totient is φ = 156349440.

The previous prime is 682016351. The next prime is 682016407. The reversal of 682016400 is 4610286.

It is not an unprimeable number, because it can be changed into a prime (682016407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11559571 + ... + 11559629.

Almost surely, 2^682016400 is an apocalyptic number.

682016400 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 682016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371731400).

682016400 is an abundant number, since it is smaller than the sum of its proper divisors (2061446400).

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

682016400 is a wasteful number, since it uses less digits than its factorization.

682016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 682016400 is about 26115.4437067418. The cubic root of 682016400 is about 880.2342695842.

Adding to 682016400 its reverse (4610286), we get a palindrome (686626686).

It can be divided in two parts, 6820 and 16400, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 682016400 in words is "six hundred eighty-two million, sixteen thousand, four hundred".