611442972 has 144 divisors (see below), whose sum is σ = 1887621120. Its totient is φ = 170571744.

The previous prime is 611442967. The next prime is 611442973. The reversal of 611442972 is 279244116.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611442973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226213 + ... + 228899.

It is an arithmetic number, because the mean of its divisors is an integer number (13108480).

Almost surely, 2^611442972 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 611442972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943810560).

611442972 is an abundant number, since it is smaller than the sum of its proper divisors (1276178148).

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

611442972 is a wasteful number, since it uses less digits than its factorization.

611442972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2742 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 611442972 is about 24727.3729296098. The cubic root of 611442972 is about 848.7608111423.

The spelling of 611442972 in words is "six hundred eleven million, four hundred forty-two thousand, nine hundred seventy-two".