1680606720 has 480 divisors, whose sum is σ = 6506083584. Its totient is φ = 398131200.

The previous prime is 1680606713. The next prime is 1680606727. The reversal of 1680606720 is 276060861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1680606713) and next prime (1680606727).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680606727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9285030 + ... + 9285210.

Almost surely, 2^1680606720 is an apocalyptic number.

1680606720 is a gapful number since it is divisible by the number (10) 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 1680606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253041792).

1680606720 is an abundant number, since it is smaller than the sum of its proper divisors (4825476864).

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

1680606720 is a wasteful number, since it uses less digits than its factorization.

1680606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1680606720 is about 40995.2036218873. The cubic root of 1680606720 is about 1188.9274803258.

It can be divided in two parts, 1680 and 606720, that added together give a square (608400 = 780²).

The spelling of 1680606720 in words is "one billion, six hundred eighty million, six hundred six thousand, seven hundred twenty".