87394140625 has 81 divisors (see below), whose sum is σ = 122934019089. Its totient is φ = 62081250000.

The previous prime is 87394140601. The next prime is 87394140643. The reversal of 87394140625 is 52604149378.

It is a happy number.

The square root of 87394140625 is 295625.

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

It can be written as a sum of positive squares in 4 ways, for example, as 62136031441 + 25258109184 = 249271^2 + 158928^2 .

It is not a de Polignac number, because 87394140625 - 2²³ = 87385752017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2032421854 + ... + 2032421896.

It is a 1-persistent number, because it is pandigital, but 2⋅87394140625 = 174788281250 is not.

Almost surely, 2^87394140625 is an apocalyptic number.

87394140625 is the 295625-th square number.

87394140625 is the 147813-rd centered octagonal number.

It is an amenable number.

87394140625 is a deficient number, since it is larger than the sum of its proper divisors (35539878464).

87394140625 is an frugal number, since it uses more digits than its factorization.

87394140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 87394140625 by its sum of digits (49), we get a square (4282312890625 = 2069375²).

The spelling of 87394140625 in words is "eighty-seven billion, three hundred ninety-four million, one hundred forty thousand, six hundred twenty-five".