61350144 has 144 divisors (see below), whose sum is σ = 178956288. Its totient is φ = 18579456.

The previous prime is 61350143. The next prime is 61350151. The reversal of 61350144 is 44105316.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (61350143) 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, 483009 + ... + 483135.

It is an arithmetic number, because the mean of its divisors is an integer number (1242752).

Almost surely, 2^61350144 is an apocalyptic number.

61350144 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 61350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89478144).

61350144 is an abundant number, since it is smaller than the sum of its proper divisors (117606144).

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

61350144 is a wasteful number, since it uses less digits than its factorization.

61350144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 61350144 is about 7832.6332736826. The cubic root of 61350144 is about 394.4014734971.

The spelling of 61350144 in words is "sixty-one million, three hundred fifty thousand, one hundred forty-four".