1680953940 has 144 divisors (see below), whose sum is σ = 5388102720. Its totient is φ = 423014400.

The previous prime is 1680953929. The next prime is 1680953983. The reversal of 1680953940 is 493590861.

It is a happy number.

It is a super-2 number, since 2×1680953940² = 5651212296803047200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049140 + ... + 1050740.

It is an arithmetic number, because the mean of its divisors is an integer number (37417380).

Almost surely, 2^1680953940 is an apocalyptic number.

1680953940 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 1680953940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694051360).

1680953940 is an abundant number, since it is smaller than the sum of its proper divisors (3707148780).

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

1680953940 is a wasteful number, since it uses less digits than its factorization.

1680953940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1680953940 is about 40999.4382888351. The cubic root of 1680953940 is about 1189.0093537287.

The spelling of 1680953940 in words is "one billion, six hundred eighty million, nine hundred fifty-three thousand, nine hundred forty".