1607640040 has 16 divisors (see below), whose sum is σ = 3617190180. Its totient is φ = 643056000.

The previous prime is 1607639983. The next prime is 1607640049. The reversal of 1607640040 is 400467061.

It can be written as a sum of positive squares in 2 ways, for example, as 1508079556 + 99560484 = 38834^2 + 9978^2 .

It is a super-2 number, since 2×1607640040² = 5169012996422403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1607639990 and 1607640008.

It is not an unprimeable number, because it can be changed into a prime (1607640049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20095461 + ... + 20095540.

Almost surely, 2^1607640040 is an apocalyptic number.

1607640040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1607640040 is an abundant number, since it is smaller than the sum of its proper divisors (2009550140).

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

1607640040 is a wasteful number, since it uses less digits than its factorization.

1607640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40191012 (or 40191008 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1607640040 is about 40095.3867670584. The cubic root of 1607640040 is about 1171.4657743772.

The spelling of 1607640040 in words is "one billion, six hundred seven million, six hundred forty thousand, forty".