1609167456 has 144 divisors (see below), whose sum is σ = 5187677040. Its totient is φ = 469048320.

The previous prime is 1609167421. The next prime is 1609167473. The reversal of 1609167456 is 6547619061.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59826 + ... + 82446.

It is an arithmetic number, because the mean of its divisors is an integer number (36025535).

Almost surely, 2^1609167456 is an apocalyptic number.

1609167456 is a gapful number since it is divisible by the number (16) 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 1609167456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593838520).

1609167456 is an abundant number, since it is smaller than the sum of its proper divisors (3578509584).

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

1609167456 is a wasteful number, since it uses less digits than its factorization.

1609167456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22669 (or 22658 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1609167456 is about 40114.4295235517. The cubic root of 1609167456 is about 1171.8366594731.

The spelling of 1609167456 in words is "one billion, six hundred nine million, one hundred sixty-seven thousand, four hundred fifty-six".