1678035840 has 512 divisors, whose sum is σ = 6251212800. Its totient is φ = 379551744.

The previous prime is 1678035839. The next prime is 1678035841. The reversal of 1678035840 is 485308761.

It is an interprime number because it is at equal distance from previous prime (1678035839) and next prime (1678035841).

It is a junction number, because it is equal to n+sod(n) for n = 1678035792 and 1678035801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678035841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21240921 + ... + 21240999.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2^1678035840 is an apocalyptic number.

1678035840 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 1678035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125606400).

1678035840 is an abundant number, since it is smaller than the sum of its proper divisors (4573176960).

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

1678035840 is a wasteful number, since it uses less digits than its factorization.

1678035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1678035840 is about 40963.8357578975. The cubic root of 1678035840 is about 1188.3209236264.

The spelling of 1678035840 in words is "one billion, six hundred seventy-eight million, thirty-five thousand, eight hundred forty".