659772 has 48 divisors (see below), whose sum is σ = 1764000. Its totient is φ = 213120.

The previous prime is 659761. The next prime is 659783. The reversal of 659772 is 277956.

It is an interprime number because it is at equal distance from previous prime (659761) and next prime (659783).

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

It is a congruent number.

It is an unprimeable number.

659772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4354 + ... + 4502.

It is an arithmetic number, because the mean of its divisors is an integer number (36750).

2⁶⁵⁹⁷⁷² 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 659772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882000).

659772 is an abundant number, since it is smaller than the sum of its proper divisors (1104228).

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

659772 is a wasteful number, since it uses less digits than its factorization.

659772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 659772 is about 812.2635040429. The cubic root of 659772 is about 87.0558499894.

It can be divided in two parts, 659 and 772, that added together give a triangular number (1431 = T₅₃).

The spelling of 659772 in words is "six hundred fifty-nine thousand, seven hundred seventy-two".