1612825600 has 99 divisors (see below), whose sum is σ = 4013845621. Its totient is φ = 642560000.

The previous prime is 1612825579. The next prime is 1612825607. The reversal of 1612825600 is 65282161.

The square root of 1612825600 is 40160.

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

It can be written as a sum of positive squares in only one way, i.e., 580617216 + 1032208384 = 24096^2 + 32128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1612825607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6425475 + ... + 6425725.

Almost surely, 2^1612825600 is an apocalyptic number.

1612825600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1612825600 is the 40160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1612825600

1612825600 is an abundant number, since it is smaller than the sum of its proper divisors (2401020021).

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

1612825600 is an frugal number, since it uses more digits than its factorization.

1612825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The cubic root of 1612825600 is about 1172.7239719257.

It can be divided in two parts, 161 and 2825600, that added together give a 4-th power (2825761 = 41⁴).

The spelling of 1612825600 in words is "one billion, six hundred twelve million, eight hundred twenty-five thousand, six hundred".