1607961600 has 396 divisors, whose sum is σ = 6586328944. Its totient is φ = 367165440.

The previous prime is 1607961587. The next prime is 1607961611. The reversal of 1607961600 is 61697061.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1612302 + ... + 1613298.

Almost surely, 2^1607961600 is an apocalyptic number.

1607961600 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 1607961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293164472).

1607961600 is an abundant number, since it is smaller than the sum of its proper divisors (4978367344).

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

1607961600 is a wasteful number, since it uses less digits than its factorization.

1607961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1607961600 is about 40099.3965041869. The cubic root of 1607961600 is about 1171.5438746593.

The spelling of 1607961600 in words is "one billion, six hundred seven million, nine hundred sixty-one thousand, six hundred".