1607105472 has 224 divisors, whose sum is σ = 5313761280. Its totient is φ = 418037760.

The previous prime is 1607105431. The next prime is 1607105477. The reversal of 1607105472 is 2745017061.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1607105477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707154 + ... + 709422.

Almost surely, 2^1607105472 is an apocalyptic number.

1607105472 is a gapful number since it is divisible by the number (12) 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 1607105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656880640).

1607105472 is an abundant number, since it is smaller than the sum of its proper divisors (3706655808).

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

1607105472 is a wasteful number, since it uses less digits than its factorization.

1607105472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 1607105472 is about 40088.7200094989. The cubic root of 1607105472 is about 1171.3359158011.

The spelling of 1607105472 in words is "one billion, six hundred seven million, one hundred five thousand, four hundred seventy-two".