1005640464 has 80 divisors (see below), whose sum is σ = 2679507072. Its totient is φ = 324762624.

The previous prime is 1005640439. The next prime is 1005640487. The reversal of 1005640464 is 4640465001.

It is a super-2 number, since 2×1005640464² = 2022625485668270592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466012 + ... + 468164.

Almost surely, 2^1005640464 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 1005640464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339753536).

1005640464 is an abundant number, since it is smaller than the sum of its proper divisors (1673866608).

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

1005640464 is a wasteful number, since it uses less digits than its factorization.

1005640464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1005640464 is about 31711.8347624353. The cubic root of 1005640464 is about 1001.8766307208.

The spelling of 1005640464 in words is "one billion, five million, six hundred forty thousand, four hundred sixty-four".