61014144 has 64 divisors (see below), whose sum is σ = 167688000. Its totient is φ = 19633152.

The previous prime is 61014143. The next prime is 61014181. The reversal of 61014144 is 44141016.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 61014144.

It is not an unprimeable number, because it can be changed into a prime (61014143) 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 7 ways as a sum of consecutive naturals, for example, 8397 + ... + 13875.

It is an arithmetic number, because the mean of its divisors is an integer number (2620125).

Almost surely, 2^61014144 is an apocalyptic number.

61014144 is a gapful number since it is divisible by the number (64) 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 61014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83844000).

61014144 is an abundant number, since it is smaller than the sum of its proper divisors (106673856).

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

61014144 is a wasteful number, since it uses less digits than its factorization.

61014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 61014144 is about 7811.1551002397. The cubic root of 61014144 is about 393.6801409951.

The spelling of 61014144 in words is "sixty-one million, fourteen thousand, one hundred forty-four".