61761312 has 48 divisors (see below), whose sum is σ = 180139680. Its totient is φ = 20586816.

The previous prime is 61761299. The next prime is 61761313. The reversal of 61761312 is 21316716.

61761312 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 (48).

It is a super-2 number, since 2×61761312² = 7628919319922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61761313) 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 7 ways as a sum of consecutive naturals, for example, 34878 + ... + 36605.

It is an arithmetic number, because the mean of its divisors is an integer number (3752910).

Almost surely, 2^61761312 is an apocalyptic number.

It is an amenable number.

61761312 is an abundant number, since it is smaller than the sum of its proper divisors (118378368).

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

61761312 is a wasteful number, since it uses less digits than its factorization.

61761312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71502 (or 71488 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 61761312 is about 7858.8365551142. The cubic root of 61761312 is about 395.2806039048.

The spelling of 61761312 in words is "sixty-one million, seven hundred sixty-one thousand, three hundred twelve".