61812912 has 120 divisors (see below), whose sum is σ = 190581552. Its totient is φ = 17203200.

The previous prime is 61812899. The next prime is 61812913. The reversal of 61812912 is 21921816.

It is a happy number.

61812912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61812912.

It is not an unprimeable number, because it can be changed into a prime (61812913) 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, 96112 + ... + 96752.

Almost surely, 2^61812912 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 61812912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95290776).

61812912 is an abundant number, since it is smaller than the sum of its proper divisors (128768640).

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

61812912 is a wasteful number, since it uses less digits than its factorization.

61812912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 61812912 is about 7862.1187983902. The cubic root of 61812912 is about 395.3906555476.

It can be divided in two parts, 618 and 12912, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 61812912 in words is "sixty-one million, eight hundred twelve thousand, nine hundred twelve".