1607287668 has 48 divisors (see below), whose sum is σ = 4334279040. Its totient is φ = 454063104.

The previous prime is 1607287663. The next prime is 1607287673. The reversal of 1607287668 is 8667827061.

It is an interprime number because it is at equal distance from previous prime (1607287663) and next prime (1607287673).

It is a self number, because there is not a number n which added to its sum of digits gives 1607287668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1607287663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100021 + ... + 114972.

It is an arithmetic number, because the mean of its divisors is an integer number (90297480).

Almost surely, 2^1607287668 is an apocalyptic number.

It is an amenable number.

1607287668 is an abundant number, since it is smaller than the sum of its proper divisors (2726991372).

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

1607287668 is a wasteful number, since it uses less digits than its factorization.

1607287668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215096 (or 215094 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 1607287668 is about 40090.9923548919. The cubic root of 1607287668 is about 1171.3801785368.

It can be divided in two parts, 16072 and 87668, that added together give a triangular number (103740 = T₄₅₅).

The spelling of 1607287668 in words is "one billion, six hundred seven million, two hundred eighty-seven thousand, six hundred sixty-eight".