61416144 has 50 divisors (see below), whose sum is σ = 177759890. Its totient is φ = 20471616.

The previous prime is 61416139. The next prime is 61416193. The reversal of 61416144 is 44161416.

61416144 is a `hidden beast` number, since 6 + 1 + 41 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35283600 + 26132544 = 5940^2 + 5112^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 22399 + ... + 24990.

Almost surely, 2^61416144 is an apocalyptic number.

It is an amenable number.

61416144 is an abundant number, since it is smaller than the sum of its proper divisors (116343746).

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

61416144 is a wasteful number, since it uses less digits than its factorization.

61416144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47409 (or 47394 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 61416144 is about 7836.8452836585. The cubic root of 61416144 is about 394.5428541398.

The spelling of 61416144 in words is "sixty-one million, four hundred sixteen thousand, one hundred forty-four".