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680400 = 2435527
BaseRepresentation
bin10100110000111010000
31021120100000
42212013100
5133233100
622330000
75532450
oct2460720
91246300
10680400
11425216
12289900
131aa906
14139d60
15d6900
hexa61d0

680400 has 180 divisors, whose sum is σ = 2798432. Its totient is φ = 155520.

The previous prime is 680399. The next prime is 680401. The reversal of 680400 is 4086.

It is an interprime number because it is at equal distance from previous prime (680399) and next prime (680401).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97197 + ... + 97203.

2680400 is an apocalyptic number.

680400 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 680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399216).

680400 is an abundant number, since it is smaller than the sum of its proper divisors (2118032).

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

680400 is a wasteful number, since it uses less digits than its factorization.

680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 680400 is about 824.8636250921. The cubic root of 680400 is about 87.9538325327.

Adding to 680400 its reverse (4086), we get a palindrome (684486).

The spelling of 680400 in words is "six hundred eighty thousand, four hundred".