663772 has 24 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 312000.

The previous prime is 663763. The next prime is 663787. The reversal of 663772 is 277366.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an Ulam number.

Its product of digits (10584) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

663772 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 7 ways as a sum of consecutive naturals, for example, 6522 + ... + 6622.

It is an arithmetic number, because the mean of its divisors is an integer number (51408).

2⁶⁶³⁷⁷² is an apocalyptic number.

663772 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

663772 is a deficient number, since it is larger than the sum of its proper divisors (570020).

663772 is a wasteful number, since it uses less digits than its factorization.

663772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its digits is 10584, while the sum is 31.

The square root of 663772 is about 814.7220384892. The cubic root of 663772 is about 87.2314268230.

663772 divided by its sum of digits (31) gives a palindrome (21412).

The spelling of 663772 in words is "six hundred sixty-three thousand, seven hundred seventy-two".