1670765625 has 63 divisors (see below), whose sum is σ = 3044550873. Its totient is φ = 882900000.

The previous prime is 1670765617. The next prime is 1670765633. The reversal of 1670765625 is 5265670761.

The square root of 1670765625 is 40875.

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

1670765625 is a `hidden beast` number, since 16 + 7 + 0 + 7 + 6 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (1670765617) and next prime (1670765633).

It can be written as a sum of positive squares in 10 ways, for example, as 1588899321 + 81866304 = 39861^2 + 9048^2 .

It is not a de Polignac number, because 1670765625 - 2³ = 1670765617 is a prime.

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 (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 15328071 + ... + 15328179.

Almost surely, 2^1670765625 is an apocalyptic number.

1670765625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1670765625 is the 40875-th square number.

1670765625 is the 20438-th centered octagonal number.

It is an amenable number.

1670765625 is a deficient number, since it is larger than the sum of its proper divisors (1373785248).

1670765625 is an frugal number, since it uses more digits than its factorization.

1670765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The cubic root of 1670765625 is about 1186.6022762670.

The spelling of 1670765625 in words is "one billion, six hundred seventy million, seven hundred sixty-five thousand, six hundred twenty-five".