61992 has 64 divisors (see below), whose sum is σ = 201600. Its totient is φ = 17280.

The previous prime is 61991. The next prime is 62003. The reversal of 61992 is 29916.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

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

It is a plaindrome in base 15.

It is a zygodrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61992.

It is not an unprimeable number, because it can be changed into a prime (61991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2⁶¹⁹⁹² 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 61992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

61992 is an abundant number, since it is smaller than the sum of its proper divisors (139608).

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

61992 is a wasteful number, since it uses less digits than its factorization.

61992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 61992 is about 248.9819270550. The cubic root of 61992 is about 39.5772137046.

The spelling of 61992 in words is "sixty-one thousand, nine hundred ninety-two".