61296312 has 128 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 15513600.

The previous prime is 61296307. The next prime is 61296377. The reversal of 61296312 is 21369216.

It is a self number, because there is not a number n which added to its sum of digits gives 61296312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75364 + ... + 76172.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^61296312 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 61296312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

61296312 is an abundant number, since it is smaller than the sum of its proper divisors (134658888).

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

61296312 is a wasteful number, since it uses less digits than its factorization.

61296312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 61296312 is about 7829.1961273173. The cubic root of 61296312 is about 394.2860832055.

The spelling of 61296312 in words is "sixty-one million, two hundred ninety-six thousand, three hundred twelve".