1678497940 has 96 divisors (see below), whose sum is σ = 4129171200. Its totient is φ = 572890752.

The previous prime is 1678497929. The next prime is 1678497959. The reversal of 1678497940 is 497948761.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2105622 + ... + 2106418.

It is an arithmetic number, because the mean of its divisors is an integer number (43012200).

Almost surely, 2^1678497940 is an apocalyptic number.

1678497940 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 1678497940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064585600).

1678497940 is an abundant number, since it is smaller than the sum of its proper divisors (2450673260).

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

1678497940 is a wasteful number, since it uses less digits than its factorization.

1678497940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The square root of 1678497940 is about 40969.4757105824. The cubic root of 1678497940 is about 1188.4299941415.

The spelling of 1678497940 in words is "one billion, six hundred seventy-eight million, four hundred ninety-seven thousand, nine hundred forty".