611106496 has 112 divisors (see below), whose sum is σ = 1628363520. Its totient is φ = 219755520.

The previous prime is 611106493. The next prime is 611106523. The reversal of 611106496 is 694601116.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×611106496³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (611106493) 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, 59295 + ... + 68833.

It is an arithmetic number, because the mean of its divisors is an integer number (14538960).

Almost surely, 2^611106496 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 611106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814181760).

611106496 is an abundant number, since it is smaller than the sum of its proper divisors (1017257024).

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

611106496 is a wasteful number, since it uses less digits than its factorization.

611106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 611106496 is about 24720.5682782577. The cubic root of 611106496 is about 848.6050920439.

The spelling of 611106496 in words is "six hundred eleven million, one hundred six thousand, four hundred ninety-six".