659427120 has 240 divisors, whose sum is σ = 2437344000. Its totient is φ = 158446080.

The previous prime is 659427101. The next prime is 659427121. The reversal of 659427120 is 21724956.

659427120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (659427121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100581 + ... + 1101179.

It is an arithmetic number, because the mean of its divisors is an integer number (10155600).

Almost surely, 2^659427120 is an apocalyptic number.

659427120 is a gapful number since it is divisible by the number (60) 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 659427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672000).

659427120 is an abundant number, since it is smaller than the sum of its proper divisors (1777916880).

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

659427120 is a wasteful number, since it uses less digits than its factorization.

659427120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 659427120 is about 25679.3130749247. The cubic root of 659427120 is about 870.4067855922.

The spelling of 659427120 in words is "six hundred fifty-nine million, four hundred twenty-seven thousand, one hundred twenty".