1531587664 has 80 divisors (see below), whose sum is σ = 3304395648. Its totient is φ = 683995136.

The previous prime is 1531587661. The next prime is 1531587671. The reversal of 1531587664 is 4667851351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531587661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856179 + ... + 857965.

Almost surely, 2^1531587664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1531587664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652197824).

1531587664 is an abundant number, since it is smaller than the sum of its proper divisors (1772807984).

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

1531587664 is a wasteful number, since it uses less digits than its factorization.

1531587664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1966 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 1531587664 is about 39135.5038807475. The cubic root of 1531587664 is about 1152.6937894197.

The spelling of 1531587664 in words is "one billion, five hundred thirty-one million, five hundred eighty-seven thousand, six hundred sixty-four".