1607999040 has 392 divisors, whose sum is σ = 5886696888. Its totient is φ = 418037760.

The previous prime is 1607999033. The next prime is 1607999053. The reversal of 1607999040 is 409997061.

It can be written as a sum of positive squares in 4 ways, for example, as 146313216 + 1461685824 = 12096^2 + 38232^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14230024 + ... + 14230136.

Almost surely, 2^1607999040 is an apocalyptic number.

1607999040 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 1607999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943348444).

1607999040 is an abundant number, since it is smaller than the sum of its proper divisors (4278697848).

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

1607999040 is an equidigital number, since it uses as much as digits as its factorization.

1607999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1607999040 is about 40099.8633414130. The cubic root of 1607999040 is about 1171.5529673852.

The spelling of 1607999040 in words is "one billion, six hundred seven million, nine hundred ninety-nine thousand, forty".