61731144 has 96 divisors (see below), whose sum is σ = 173521920. Its totient is φ = 19813248.

The previous prime is 61731139. The next prime is 61731157. The reversal of 61731144 is 44113716.

It is a happy number.

61731144 is a `hidden beast` number, since 617 + 3 + 1 + 1 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393114 + ... + 393270.

It is an arithmetic number, because the mean of its divisors is an integer number (1807520).

Almost surely, 2^61731144 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 61731144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86760960).

61731144 is an abundant number, since it is smaller than the sum of its proper divisors (111790776).

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

61731144 is a wasteful number, since it uses less digits than its factorization.

61731144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 61731144 is about 7856.9169525966. The cubic root of 61731144 is about 395.2162336866.

The spelling of 61731144 in words is "sixty-one million, seven hundred thirty-one thousand, one hundred forty-four".