61140000 has 120 divisors (see below), whose sum is σ = 200748240. Its totient is φ = 16288000.

The previous prime is 61139999. The next prime is 61140019. The reversal of 61140000 is 4116.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a zygodrome in base 5.

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 19 ways as a sum of consecutive naturals, for example, 59491 + ... + 60509.

It is an arithmetic number, because the mean of its divisors is an integer number (1672902).

Almost surely, 2^61140000 is an apocalyptic number.

61140000 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 61140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100374120).

61140000 is an abundant number, since it is smaller than the sum of its proper divisors (139608240).

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

61140000 is a wasteful number, since it uses less digits than its factorization.

61140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1029 counting only the distinct ones).

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

The square root of 61140000 is about 7819.2071209298. The cubic root of 61140000 is about 393.9506410034.

Adding to 61140000 its reverse (4116), we get a palindrome (61144116).

The spelling of 61140000 in words is "sixty-one million, one hundred forty thousand".