623712 has 48 divisors (see below), whose sum is σ = 1678320. Its totient is φ = 202752.

The previous prime is 623699. The next prime is 623717. The reversal of 623712 is 217326.

623712 = 54² + 55² + ... + 126².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623717) by changing a digit.

623712 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, 6964 + ... + 7052.

It is an arithmetic number, because the mean of its divisors is an integer number (34965).

2⁶²³⁷¹² 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 623712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839160).

623712 is an abundant number, since it is smaller than the sum of its proper divisors (1054608).

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

623712 is a wasteful number, since it uses less digits than its factorization.

623712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 623712 is about 789.7543922005. The cubic root of 623712 is about 85.4400249688.

The spelling of 623712 in words is "six hundred twenty-three thousand, seven hundred twelve".