1609117416 has 24 divisors (see below), whose sum is σ = 4358026530. Its totient is φ = 536372448.

The previous prime is 1609117387. The next prime is 1609117417. The reversal of 1609117416 is 6147119061.

1609117416 is a `hidden beast` number, since 1 + 609 + 1 + 1 + 7 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1065761316 + 543356100 = 32646^2 + 23310^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (1609117417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11174355 + ... + 11174498.

Almost surely, 2^1609117416 is an apocalyptic number.

It is an amenable number.

1609117416 is an abundant number, since it is smaller than the sum of its proper divisors (2748909114).

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

1609117416 is a wasteful number, since it uses less digits than its factorization.

1609117416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22348865 (or 22348858 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1609117416 is about 40113.8058029901. The cubic root of 1609117416 is about 1171.8245125470.

It can be divided in two parts, 1609 and 117416, that added together give a square (119025 = 345²).

The spelling of 1609117416 in words is "one billion, six hundred nine million, one hundred seventeen thousand, four hundred sixteen".