61787712 has 112 divisors (see below), whose sum is σ = 192991232. Its totient is φ = 17072640.

The previous prime is 61787701. The next prime is 61787723. The reversal of 61787712 is 21778716.

61787712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61787701) and next prime (61787723).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 40923 + ... + 42405.

It is an arithmetic number, because the mean of its divisors is an integer number (1723136).

Almost surely, 2^61787712 is an apocalyptic number.

61787712 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61787712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96495616).

61787712 is an abundant number, since it is smaller than the sum of its proper divisors (131203520).

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

61787712 is a wasteful number, since it uses less digits than its factorization.

61787712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1526 counting only the distinct ones).

The product of its digits is 32928, while the sum is 39.

The square root of 61787712 is about 7860.5160135961. The cubic root of 61787712 is about 395.3369170512.

The spelling of 61787712 in words is "sixty-one million, seven hundred eighty-seven thousand, seven hundred twelve".