1612589472 has 120 divisors (see below), whose sum is σ = 5107501476. Its totient is φ = 496171008.

The previous prime is 1612589471. The next prime is 1612589479. The reversal of 1612589472 is 2749852161.

1612589472 is a `hidden beast` number, since 1 + 61 + 2 + 589 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1565310096 + 47279376 = 39564^2 + 6876^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1612589471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9768 + ... + 57624.

Almost surely, 2^1612589472 is an apocalyptic number.

1612589472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1612589472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553750738).

1612589472 is an abundant number, since it is smaller than the sum of its proper divisors (3494912004).

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

1612589472 is a wasteful number, since it uses less digits than its factorization.

1612589472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47892 (or 47875 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1612589472 is about 40157.0600517518. The cubic root of 1612589472 is about 1172.6667376983. Note that the first 3 decimals are identical.

The spelling of 1612589472 in words is "one billion, six hundred twelve million, five hundred eighty-nine thousand, four hundred seventy-two".