367680625 has 45 divisors (see below), whose sum is σ = 506090343. Its totient is φ = 266916000.

The previous prime is 367680619. The next prime is 367680629. The reversal of 367680625 is 526086763.

The square root of 367680625 is 19175.

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 363169249 + 4511376 = 19057^2 + 2124^2 .

It is not a de Polignac number, because 367680625 - 2¹³ = 367672433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (367680629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6231846 + ... + 6231904.

Almost surely, 2^367680625 is an apocalyptic number.

367680625 is the 19175-th square number.

367680625 is the 9588-th centered octagonal number.

It is an amenable number.

367680625 is a deficient number, since it is larger than the sum of its proper divisors (138409718).

367680625 is an frugal number, since it uses more digits than its factorization.

367680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The cubic root of 367680625 is about 716.4022069718.

The spelling of 367680625 in words is "three hundred sixty-seven million, six hundred eighty thousand, six hundred twenty-five".