1678735620 has 36 divisors (see below), whose sum is σ = 5092165260. Its totient is φ = 447662784.

The previous prime is 1678735607. The next prime is 1678735637. The reversal of 1678735620 is 265378761.

1678735620 is a `hidden beast` number, since 1 + 6 + 7 + 87 + 3 + 562 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198640836 + 1480094784 = 14094^2 + 38472^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 4662975 + ... + 4663334.

It is an arithmetic number, because the mean of its divisors is an integer number (141449035).

Almost surely, 2^1678735620 is an apocalyptic number.

1678735620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1678735620 is an abundant number, since it is smaller than the sum of its proper divisors (3413429640).

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

1678735620 is a wasteful number, since it uses less digits than its factorization.

1678735620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9326324 (or 9326319 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1678735620 is about 40972.3763040417. The cubic root of 1678735620 is about 1188.4860864970.

The spelling of 1678735620 in words is "one billion, six hundred seventy-eight million, seven hundred thirty-five thousand, six hundred twenty".