1605196416 has 128 divisors (see below), whose sum is σ = 4360328640. Its totient is φ = 523100160.

The previous prime is 1605196409. The next prime is 1605196447. The reversal of 1605196416 is 6146915061.

It is a tau number, because it is divible by the number of its divisors (128).

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, 4849371 + ... + 4849701.

Almost surely, 2^1605196416 is an apocalyptic number.

1605196416 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 1605196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180164320).

1605196416 is an abundant number, since it is smaller than the sum of its proper divisors (2755132224).

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

1605196416 is a wasteful number, since it uses less digits than its factorization.

1605196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1605196416 is about 40064.9025457444. The cubic root of 1605196416 is about 1170.8719280273.

The spelling of 1605196416 in words is "one billion, six hundred five million, one hundred ninety-six thousand, four hundred sixteen".