1607689216 has 99 divisors (see below), whose sum is σ = 3759514059. Its totient is φ = 685160448.

The previous prime is 1607689189. The next prime is 1607689219. The reversal of 1607689216 is 6129867061.

The square root of 1607689216 is 40096.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (1607689219) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8981415 + ... + 8981593.

Almost surely, 2^1607689216 is an apocalyptic number.

1607689216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1607689216 is the 40096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1607689216

1607689216 is an abundant number, since it is smaller than the sum of its proper divisors (2151824843).

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

1607689216 is an frugal number, since it uses more digits than its factorization.

1607689216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The cubic root of 1607689216 is about 1171.4777188864.

The spelling of 1607689216 in words is "one billion, six hundred seven million, six hundred eighty-nine thousand, two hundred sixteen".