1842160320 has 1120 divisors, whose sum is σ = 8922203136. Its totient is φ = 348364800.

The previous prime is 1842160319. The next prime is 1842160339. The reversal of 1842160320 is 230612481.

1842160320 is a `hidden beast` number, since 18 + 4 + 21 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25945885 + ... + 25945955.

Almost surely, 2^1842160320 is an apocalyptic number.

1842160320 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 1842160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461101568).

1842160320 is an abundant number, since it is smaller than the sum of its proper divisors (7080042816).

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

1842160320 is a wasteful number, since it uses less digits than its factorization.

1842160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1842160320 is about 42920.3951519554. The cubic root of 1842160320 is about 1225.8645170505.

The spelling of 1842160320 in words is "one billion, eight hundred forty-two million, one hundred sixty thousand, three hundred twenty".