514220688 has 120 divisors (see below), whose sum is σ = 1484342496. Its totient is φ = 166080000.

The previous prime is 514220677. The next prime is 514220699. The reversal of 514220688 is 886022415.

It is an interprime number because it is at equal distance from previous prime (514220677) and next prime (514220699).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1481731 + ... + 1482077.

Almost surely, 2^514220688 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 514220688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742171248).

514220688 is an abundant number, since it is smaller than the sum of its proper divisors (970121808).

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

514220688 is a wasteful number, since it uses less digits than its factorization.

514220688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 514220688 is about 22676.4346403927. The cubic root of 514220688 is about 801.1549401725.

The spelling of 514220688 in words is "five hundred fourteen million, two hundred twenty thousand, six hundred eighty-eight".