10611612 has 72 divisors (see below), whose sum is σ = 29632512. Its totient is φ = 3175200.

The previous prime is 10611611. The next prime is 10611617. The reversal of 10611612 is 21611601.

It is a super-3 number, since 3×10611612³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10611611) 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 23 ways as a sum of consecutive naturals, for example, 50187 + ... + 50397.

Almost surely, 2^10611612 is an apocalyptic number.

10611612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10611612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14816256).

10611612 is an abundant number, since it is smaller than the sum of its proper divisors (19020900).

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

10611612 is a wasteful number, since it uses less digits than its factorization.

10611612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10611612 is about 3257.5469298231. The cubic root of 10611612 is about 219.7491079262.

The spelling of 10611612 in words is "ten million, six hundred eleven thousand, six hundred twelve".