1609096320 has 768 divisors, whose sum is σ = 6719760000. Its totient is φ = 362299392.

The previous prime is 1609096303. The next prime is 1609096327. The reversal of 1609096320 is 236909061.

1609096320 is a `hidden beast` number, since 16 + 0 + 9 + 0 + 9 + 632 + 0 = 666.

It is a super-3 number, since 3×1609096320³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609096327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55486066 + ... + 55486094.

Almost surely, 2^1609096320 is an apocalyptic number.

1609096320 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 1609096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359880000).

1609096320 is an abundant number, since it is smaller than the sum of its proper divisors (5110663680).

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

1609096320 is a wasteful number, since it uses less digits than its factorization.

1609096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1609096320 is about 40113.5428502644. The cubic root of 1609096320 is about 1171.8193915373.

The spelling of 1609096320 in words is "one billion, six hundred nine million, ninety-six thousand, three hundred twenty".