61084640 has 48 divisors (see below), whose sum is σ = 144916128. Its totient is φ = 24331776.

The previous prime is 61084633. The next prime is 61084649. The reversal of 61084640 is 4648016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61084649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46229 + ... + 47531.

It is an arithmetic number, because the mean of its divisors is an integer number (3019086).

Almost surely, 2^61084640 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 61084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72458064).

61084640 is an abundant number, since it is smaller than the sum of its proper divisors (83831488).

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

61084640 is a wasteful number, since it uses less digits than its factorization.

61084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 61084640 is about 7815.6663183634. Note that the first 3 decimals coincide. The cubic root of 61084640 is about 393.8317025384.

The spelling of 61084640 in words is "sixty-one million, eighty-four thousand, six hundred forty".