1678026240 has 320 divisors, whose sum is σ = 6505297920. Its totient is φ = 406609920.

The previous prime is 1678026239. The next prime is 1678026277. The reversal of 1678026240 is 426208761.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 1678026195 and 1678026204.

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, 759217 + ... + 761423.

It is an arithmetic number, because the mean of its divisors is an integer number (20329056).

Almost surely, 2^1678026240 is an apocalyptic number.

1678026240 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 1678026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252648960).

1678026240 is an abundant number, since it is smaller than the sum of its proper divisors (4827271680).

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

1678026240 is a wasteful number, since it uses less digits than its factorization.

1678026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2228 counting only the distinct ones).

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

The square root of 1678026240 is about 40963.7185812030. The cubic root of 1678026240 is about 1188.3186575042.

The spelling of 1678026240 in words is "one billion, six hundred seventy-eight million, twenty-six thousand, two hundred forty".