61757312 has 32 divisors (see below), whose sum is σ = 124535880. Its totient is φ = 30501376.

The previous prime is 61757309. The next prime is 61757321. The reversal of 61757312 is 21375716.

61757312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7718 + ... + 13530.

Almost surely, 2^61757312 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 61757312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62267940).

61757312 is an abundant number, since it is smaller than the sum of its proper divisors (62778568).

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

61757312 is an equidigital number, since it uses as much as digits as its factorization.

61757312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5898 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 61757312 is about 7858.5820603974. The cubic root of 61757312 is about 395.2720702100.

The spelling of 61757312 in words is "sixty-one million, seven hundred fifty-seven thousand, three hundred twelve".