561960672 has 96 divisors (see below), whose sum is σ = 1815593472. Its totient is φ = 148207104.

The previous prime is 561960671. The next prime is 561960709. The reversal of 561960672 is 276069165.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561960671) 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, 23428 + ... + 40899.

It is an arithmetic number, because the mean of its divisors is an integer number (18912432).

Almost surely, 2^561960672 is an apocalyptic number.

561960672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

561960672 is an abundant number, since it is smaller than the sum of its proper divisors (1253632800).

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

561960672 is a wasteful number, since it uses less digits than its factorization.

561960672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64360 (or 64352 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 561960672 is about 23705.7096919708. The cubic root of 561960672 is about 825.2179024049.

The spelling of 561960672 in words is "five hundred sixty-one million, nine hundred sixty thousand, six hundred seventy-two".