1864080625 has 45 divisors (see below), whose sum is σ = 2576777511. Its totient is φ = 1347060000.

The previous prime is 1864080601. The next prime is 1864080667. The reversal of 1864080625 is 5260804681.

The square root of 1864080625 is 43175.

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 1713380449 + 150700176 = 41393^2 + 12276^2 .

It is not a de Polignac number, because 1864080625 - 2⁵ = 1864080593 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11873047 + ... + 11873203.

Almost surely, 2^1864080625 is an apocalyptic number.

1864080625 is the 43175-th square number.

1864080625 is the 21588-th centered octagonal number.

It is an amenable number.

1864080625 is a deficient number, since it is larger than the sum of its proper divisors (712696886).

1864080625 is an frugal number, since it uses more digits than its factorization.

1864080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The cubic root of 1864080625 is about 1230.7076424635.

The spelling of 1864080625 in words is "one billion, eight hundred sixty-four million, eighty thousand, six hundred twenty-five".