1001564670 has 128 divisors (see below), whose sum is σ = 2659599360. Its totient is φ = 240261120.

The previous prime is 1001564623. The next prime is 1001564671. The reversal of 1001564670 is 764651001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001564671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3159352 + ... + 3159668.

It is an arithmetic number, because the mean of its divisors is an integer number (20778120).

Almost surely, 2^1001564670 is an apocalyptic number.

1001564670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001564670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329799680).

1001564670 is an abundant number, since it is smaller than the sum of its proper divisors (1658034690).

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

1001564670 is a wasteful number, since it uses less digits than its factorization.

1001564670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1001564670 is about 31647.5065368506. The cubic root of 1001564670 is about 1000.5212848815.

The spelling of 1001564670 in words is "one billion, one million, five hundred sixty-four thousand, six hundred seventy".