906212500 has 36 divisors (see below), whose sum is σ = 1982240316. Its totient is φ = 362480000.

The previous prime is 906212471. The next prime is 906212521. The reversal of 906212500 is 5212609.

It can be written as a sum of positive squares in 6 ways, for example, as 802702224 + 103510276 = 28332^2 + 10174^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23749 + ... + 48748.

It is an arithmetic number, because the mean of its divisors is an integer number (55062231).

Almost surely, 2^906212500 is an apocalyptic number.

It is an amenable number.

906212500 is an abundant number, since it is smaller than the sum of its proper divisors (1076027816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

906212500 is an equidigital number, since it uses as much as digits as its factorization.

906212500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72526 (or 72504 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 906212500 is about 30103.3635994385. The cubic root of 906212500 is about 967.7058121224.

The spelling of 906212500 in words is "nine hundred six million, two hundred twelve thousand, five hundred".