61404642 has 48 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 18891792.

The previous prime is 61404617. The next prime is 61404643. The reversal of 61404642 is 24640416.

61404642 is a `hidden beast` number, since 6 + 14 + 0 + 4 + 642 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61404643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459 + ... + 11177.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^61404642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61404642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

61404642 is an abundant number, since it is smaller than the sum of its proper divisors (87194718).

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

61404642 is a wasteful number, since it uses less digits than its factorization.

61404642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9749 (or 9737 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 61404642 is about 7836.1114080901. Note that the first 3 decimals coincide. The cubic root of 61404642 is about 394.5182226399.

The spelling of 61404642 in words is "sixty-one million, four hundred four thousand, six hundred forty-two".