1607629940 has 48 divisors (see below), whose sum is σ = 3861846912. Its totient is φ = 550682496.

The previous prime is 1607629931. The next prime is 1607629999. The reversal of 1607629940 is 499267061.

It is a junction number, because it is equal to n+sod(n) for n = 1607629891 and 1607629900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168539 + ... + 177821.

It is an arithmetic number, because the mean of its divisors is an integer number (80455144).

Almost surely, 2^1607629940 is an apocalyptic number.

1607629940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1607629940 is an abundant number, since it is smaller than the sum of its proper divisors (2254216972).

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

1607629940 is a wasteful number, since it uses less digits than its factorization.

1607629940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10534 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 1607629940 is about 40095.2608172088. The cubic root of 1607629940 is about 1171.4633211272.

The spelling of 1607629940 in words is "one billion, six hundred seven million, six hundred twenty-nine thousand, nine hundred forty".