61368192 has 96 divisors (see below), whose sum is σ = 183226680. Its totient is φ = 20445696.

The previous prime is 61368187. The next prime is 61368247. The reversal of 61368192 is 29186316.

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 (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30118 + ... + 32090.

Almost surely, 2^61368192 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 61368192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91613340).

61368192 is an abundant number, since it is smaller than the sum of its proper divisors (121858488).

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

61368192 is an equidigital number, since it uses as much as digits as its factorization.

61368192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1978 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61368192 is about 7833.7852919262. The cubic root of 61368192 is about 394.4401447451.

The spelling of 61368192 in words is "sixty-one million, three hundred sixty-eight thousand, one hundred ninety-two".