561762672 has 80 divisors (see below), whose sum is σ = 1522521600. Its totient is φ = 178142976.

The previous prime is 561762629. The next prime is 561762673. The reversal of 561762672 is 276267165.

561762672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×561762672³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561762673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218418 + ... + 220974.

It is an arithmetic number, because the mean of its divisors is an integer number (19031520).

Almost surely, 2^561762672 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 561762672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761260800).

561762672 is an abundant number, since it is smaller than the sum of its proper divisors (960758928).

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

561762672 is a wasteful number, since it uses less digits than its factorization.

561762672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2784 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 561762672 is about 23701.5331149696. The cubic root of 561762672 is about 825.1209725268.

The spelling of 561762672 in words is "five hundred sixty-one million, seven hundred sixty-two thousand, six hundred seventy-two".