514010664 has 64 divisors (see below), whose sum is σ = 1437480000. Its totient is φ = 170176320.

The previous prime is 514010633. The next prime is 514010669. The reversal of 514010664 is 466010415.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (514010669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24199 + ... + 40169.

It is an arithmetic number, because the mean of its divisors is an integer number (22460625).

Almost surely, 2^514010664 is an apocalyptic number.

514010664 is a gapful number since it is divisible by the number (54) 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 514010664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718740000).

514010664 is an abundant number, since it is smaller than the sum of its proper divisors (923469336).

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

514010664 is a wasteful number, since it uses less digits than its factorization.

514010664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16135 (or 16125 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 514010664 is about 22671.8032807274. The cubic root of 514010664 is about 801.0458529770.

The spelling of 514010664 in words is "five hundred fourteen million, ten thousand, six hundred sixty-four".