624672 has 60 divisors (see below), whose sum is σ = 1844766. Its totient is φ = 207360.

The previous prime is 624667. The next prime is 624683. The reversal of 624672 is 276426.

It can be written as a sum of positive squares in only one way, i.e., 467856 + 156816 = 684^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

624672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2472 + ... + 2712.

2⁶²⁴⁶⁷² 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 624672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922383).

624672 is an abundant number, since it is smaller than the sum of its proper divisors (1220094).

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

624672 is a wasteful number, since it uses less digits than its factorization.

624672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 624672 is about 790.3619424036. The cubic root of 624672 is about 85.4838381271.

It can be divided in two parts, 624 and 672, that added together give a 4-th power (1296 = 6⁴).

The spelling of 624672 in words is "six hundred twenty-four thousand, six hundred seventy-two".