1609696416 has 96 divisors (see below), whose sum is σ = 4504550400. Its totient is φ = 501845760.

The previous prime is 1609696399. The next prime is 1609696427. The reversal of 1609696416 is 6146969061.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1609696416² = 5182245103366490112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138511 + ... + 149681.

It is an arithmetic number, because the mean of its divisors is an integer number (46922400).

Almost surely, 2^1609696416 is an apocalyptic number.

1609696416 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 1609696416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252275200).

1609696416 is an abundant number, since it is smaller than the sum of its proper divisors (2894853984).

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

1609696416 is a wasteful number, since it uses less digits than its factorization.

1609696416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 1609696416 is about 40121.0221205791. The cubic root of 1609696416 is about 1171.9650461140.

The spelling of 1609696416 in words is "one billion, six hundred nine million, six hundred ninety-six thousand, four hundred sixteen".