1607138240 has 56 divisors (see below), whose sum is σ = 3958986240. Its totient is φ = 620684288.

The previous prime is 1607138233. The next prime is 1607138249. The reversal of 1607138240 is 428317061.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1607138197 and 1607138206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1607138249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 77312 + ... + 95871.

Almost surely, 2^1607138240 is an apocalyptic number.

1607138240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1607138240 is an abundant number, since it is smaller than the sum of its proper divisors (2351848000).

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

1607138240 is a wasteful number, since it uses less digits than its factorization.

1607138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173229 (or 173219 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1607138240 is about 40089.1287009334. The cubic root of 1607138240 is about 1171.3438767129.

The spelling of 1607138240 in words is "one billion, six hundred seven million, one hundred thirty-eight thousand, two hundred forty".