61114368 has 192 divisors, whose sum is σ = 196560000. Its totient is φ = 16859136.

The previous prime is 61114367. The next prime is 61114369. The reversal of 61114368 is 86341116.

It is an interprime number because it is at equal distance from previous prime (61114367) and next prime (61114369).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (61114363) 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, 2107378 + ... + 2107406.

It is an arithmetic number, because the mean of its divisors is an integer number (1023750).

Almost surely, 2^61114368 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 61114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280000).

61114368 is an abundant number, since it is smaller than the sum of its proper divisors (135445632).

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

61114368 is an equidigital number, since it uses as much as digits as its factorization.

61114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 61114368 is about 7817.5679082436. The cubic root of 61114368 is about 393.8955807359.

The spelling of 61114368 in words is "sixty-one million, one hundred fourteen thousand, three hundred sixty-eight".