611580672 has 144 divisors (see below), whose sum is σ = 1887674880. Its totient is φ = 194946048.

The previous prime is 611580643. The next prime is 611580689. The reversal of 611580672 is 276085116.

611580672 is a `hidden beast` number, since 6 + 1 + 1 + 580 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157053 + ... + 160899.

Almost surely, 2^611580672 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 611580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943837440).

611580672 is an abundant number, since it is smaller than the sum of its proper divisors (1276094208).

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

611580672 is a wasteful number, since it uses less digits than its factorization.

611580672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 611580672 is about 24730.1571365812. The cubic root of 611580672 is about 848.8245214127.

The spelling of 611580672 in words is "six hundred eleven million, five hundred eighty thousand, six hundred seventy-two".