1600242144 has 48 divisors (see below), whose sum is σ = 4279906512. Its totient is φ = 523347968.

The previous prime is 1600242139. The next prime is 1600242221. The reversal of 1600242144 is 4412420061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152169 + ... + 162344.

It is an arithmetic number, because the mean of its divisors is an integer number (89164719).

Almost surely, 2^1600242144 is an apocalyptic number.

It is an amenable number.

1600242144 is an abundant number, since it is smaller than the sum of its proper divisors (2679664368).

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

1600242144 is a wasteful number, since it uses less digits than its factorization.

1600242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314579 (or 314571 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1600242144 is about 40003.0266854897. The cubic root of 1600242144 is about 1169.6660950882. Note that the first 3 decimals are identical.

The spelling of 1600242144 in words is "one billion, six hundred million, two hundred forty-two thousand, one hundred forty-four".