1047642064 has 80 divisors (see below), whose sum is σ = 2451271680. Its totient is φ = 423722880.

The previous prime is 1047642049. The next prime is 1047642073. The reversal of 1047642064 is 4602467401.

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, 661017 + ... + 662599.

It is an arithmetic number, because the mean of its divisors is an integer number (30640896).

Almost surely, 2^1047642064 is an apocalyptic number.

1047642064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047642064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225635840).

1047642064 is an abundant number, since it is smaller than the sum of its proper divisors (1403629616).

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

1047642064 is a wasteful number, since it uses less digits than its factorization.

1047642064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 1047642064 is about 32367.2993003741. The cubic root of 1047642064 is about 1015.6349619649.

The spelling of 1047642064 in words is "one billion, forty-seven million, six hundred forty-two thousand, sixty-four".