1680462072 has 128 divisors (see below), whose sum is σ = 4911840000. Its totient is φ = 531554688.

The previous prime is 1680462037. The next prime is 1680462083. The reversal of 1680462072 is 2702640861.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367303 + ... + 371849.

It is an arithmetic number, because the mean of its divisors is an integer number (38373750).

Almost surely, 2^1680462072 is an apocalyptic number.

1680462072 is a gapful number since it is divisible by the number (12) 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 1680462072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455920000).

1680462072 is an abundant number, since it is smaller than the sum of its proper divisors (3231377928).

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

1680462072 is a wasteful number, since it uses less digits than its factorization.

1680462072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1680462072 is about 40993.4393775394. The cubic root of 1680462072 is about 1188.8933694470.

The spelling of 1680462072 in words is "one billion, six hundred eighty million, four hundred sixty-two thousand, seventy-two".