1680001440 has 96 divisors (see below), whose sum is σ = 5699102976. Its totient is φ = 413537280.

The previous prime is 1680001381. The next prime is 1680001441. The reversal of 1680001440 is 441000861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1680001440.

It is not an unprimeable number, because it can be changed into a prime (1680001441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128376 + ... + 140855.

It is an arithmetic number, because the mean of its divisors is an integer number (59365656).

Almost surely, 2^1680001440 is an apocalyptic number.

1680001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680001440 is an abundant number, since it is smaller than the sum of its proper divisors (4019101536).

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

1680001440 is a wasteful number, since it uses less digits than its factorization.

1680001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269262 (or 269254 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1680001440 is about 40987.8206300359. The cubic root of 1680001440 is about 1188.7847302052.

The spelling of 1680001440 in words is "one billion, six hundred eighty million, one thousand, four hundred forty".