61014000 has 80 divisors (see below), whose sum is σ = 196728480. Its totient is φ = 16268800.

The previous prime is 61013977. The next prime is 61014001. The reversal of 61014000 is 41016.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61014001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916 + ... + 11084.

It is an arithmetic number, because the mean of its divisors is an integer number (2459106).

Almost surely, 2^61014000 is an apocalyptic number.

61014000 is a gapful number since it is divisible by the number (60) 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 61014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98364240).

61014000 is an abundant number, since it is smaller than the sum of its proper divisors (135714480).

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

61014000 is a wasteful number, since it uses less digits than its factorization.

61014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 61014000 is about 7811.1458826474. The cubic root of 61014000 is about 393.6798312856.

Adding to 61014000 its reverse (41016), we get a palindrome (61055016).

It can be divided in two parts, 6101 and 4000, that added together give a palindrome (10101).

The spelling of 61014000 in words is "sixty-one million, fourteen thousand".