1678950625 has 45 divisors (see below), whose sum is σ = 2321665423. Its totient is φ = 1212860000.

The previous prime is 1678950613. The next prime is 1678950661. The reversal of 1678950625 is 5260598761.

The square root of 1678950625 is 40975.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1671746769 + 7203856 = 40887^2 + 2684^2 .

It is not a de Polignac number, because 1678950625 - 2¹⁵ = 1678917857 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11268051 + ... + 11268199.

Almost surely, 2^1678950625 is an apocalyptic number.

1678950625 is the 40975-th square number.

1678950625 is the 20488-th centered octagonal number.

It is an amenable number.

1678950625 is a deficient number, since it is larger than the sum of its proper divisors (642714798).

1678950625 is an frugal number, since it uses more digits than its factorization.

1678950625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The cubic root of 1678950625 is about 1188.5368230036.

Multiplying 1678950625 by its sum of digits (49), we get a square (82268580625 = 286825²).

The spelling of 1678950625 in words is "one billion, six hundred seventy-eight million, nine hundred fifty thousand, six hundred twenty-five".