1607663520 has 144 divisors (see below), whose sum is σ = 5552662752. Its totient is φ = 423513600.

The previous prime is 1607663513. The next prime is 1607663527. The reversal of 1607663520 is 253667061.

1607663520 is a `hidden beast` number, since 1 + 6 + 0 + 76 + 63 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (1607663513) and next prime (1607663527).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1607663527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112795 + ... + 126245.

It is an arithmetic number, because the mean of its divisors is an integer number (38560158).

Almost surely, 2^1607663520 is an apocalyptic number.

1607663520 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 1607663520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776331376).

1607663520 is an abundant number, since it is smaller than the sum of its proper divisors (3944999232).

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

1607663520 is a wasteful number, since it uses less digits than its factorization.

1607663520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13555 (or 13544 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1607663520 is about 40095.6795677539. The cubic root of 1607663520 is about 1171.4714775367.

The spelling of 1607663520 in words is "one billion, six hundred seven million, six hundred sixty-three thousand, five hundred twenty".