1612441080 has 192 divisors, whose sum is σ = 5721206400. Its totient is φ = 407306880.

The previous prime is 1612441067. The next prime is 1612441087. The reversal of 1612441080 is 801442161.

It is a happy number.

1612441080 is a `hidden beast` number, since 1 + 612 + 4 + 41 + 0 + 8 + 0 = 666.

1612441080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1612441087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180315 + ... + 189045.

It is an arithmetic number, because the mean of its divisors is an integer number (29797950).

Almost surely, 2^1612441080 is an apocalyptic number.

1612441080 is a gapful number since it is divisible by the number (10) 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 1612441080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860603200).

1612441080 is an abundant number, since it is smaller than the sum of its proper divisors (4108765320).

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

1612441080 is a wasteful number, since it uses less digits than its factorization.

1612441080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8776 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1612441080 is about 40155.2123640257. The cubic root of 1612441080 is about 1172.6307666296.

The spelling of 1612441080 in words is "one billion, six hundred twelve million, four hundred forty-one thousand, eighty".