611040672 has 240 divisors, whose sum is σ = 2030767200. Its totient is φ = 178536960.

The previous prime is 611040667. The next prime is 611040679. The reversal of 611040672 is 276040116.

611040672 is a `hidden beast` number, since 611 + 0 + 40 + 6 + 7 + 2 = 666.

611040672 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 3×611040672³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (611040679) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826479 + ... + 827217.

It is an arithmetic number, because the mean of its divisors is an integer number (8461530).

Almost surely, 2^611040672 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 611040672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015383600).

611040672 is an abundant number, since it is smaller than the sum of its proper divisors (1419726528).

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

611040672 is a wasteful number, since it uses less digits than its factorization.

611040672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 611040672 is about 24719.2368814250. The cubic root of 611040672 is about 848.5746224026.

Adding to 611040672 its reverse (276040116), we get a palindrome (887080788).

The spelling of 611040672 in words is "six hundred eleven million, forty thousand, six hundred seventy-two".