1612113984 has 126 divisors (see below), whose sum is σ = 5003926746. Its totient is φ = 496005120.

The previous prime is 1612113983. The next prime is 1612114057. The reversal of 1612113984 is 4893112161.

1612113984 is a `hidden beast` number, since 1 + 612 + 1 + 1 + 39 + 8 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 128323584 + 1483790400 = 11328^2 + 38520^2 .

It is a super-2 number, since 2×1612113984² = 5197822994816704512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1612113983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 89064 + ... + 105624.

Almost surely, 2^1612113984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1612113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501963373).

1612113984 is an abundant number, since it is smaller than the sum of its proper divisors (3391812762).

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

1612113984 is a wasteful number, since it uses less digits than its factorization.

1612113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16605 (or 16579 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1612113984 is about 40151.1392615452. The cubic root of 1612113984 is about 1172.5514688954.

The spelling of 1612113984 in words is "one billion, six hundred twelve million, one hundred thirteen thousand, nine hundred eighty-four".