61857312 has 96 divisors (see below), whose sum is σ = 186520320. Its totient is φ = 17752320.

The previous prime is 61857287. The next prime is 61857329. The reversal of 61857312 is 21375816.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18523 + ... + 21605.

It is an arithmetic number, because the mean of its divisors is an integer number (1942920).

Almost surely, 2^61857312 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 61857312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93260160).

61857312 is an abundant number, since it is smaller than the sum of its proper divisors (124663008).

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

61857312 is a wasteful number, since it uses less digits than its factorization.

61857312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3118 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 61857312 is about 7864.9419578278. The cubic root of 61857312 is about 395.4853021347.

The spelling of 61857312 in words is "sixty-one million, eight hundred fifty-seven thousand, three hundred twelve".