511070640 has 160 divisors (see below), whose sum is σ = 1653346560. Its totient is φ = 130470912.

The previous prime is 511070633. The next prime is 511070647. The reversal of 511070640 is 46070115.

It is an interprime number because it is at equal distance from previous prime (511070633) and next prime (511070647).

It is a super-2 number, since 2×511070640² = 522386398140019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 511070640.

It is not an unprimeable number, because it can be changed into a prime (511070647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594531 + ... + 595389.

It is an arithmetic number, because the mean of its divisors is an integer number (10333416).

Almost surely, 2^511070640 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 511070640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826673280).

511070640 is an abundant number, since it is smaller than the sum of its proper divisors (1142275920).

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

511070640 is a wasteful number, since it uses less digits than its factorization.

511070640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 511070640 is about 22606.8715217298. The cubic root of 511070640 is about 799.5156651672.

The spelling of 511070640 in words is "five hundred eleven million, seventy thousand, six hundred forty".