61008640 has 144 divisors (see below), whose sum is σ = 182488320. Its totient is φ = 18984960.

The previous prime is 61008613. The next prime is 61008643. The reversal of 61008640 is 4680016.

It is not an unprimeable number, because it can be changed into a prime (61008643) 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 15 ways as a sum of consecutive naturals, for example, 98251 + ... + 98869.

It is an arithmetic number, because the mean of its divisors is an integer number (1267280).

Almost surely, 2^61008640 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 61008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91244160).

61008640 is an abundant number, since it is smaller than the sum of its proper divisors (121479680).

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

61008640 is a wasteful number, since it uses less digits than its factorization.

61008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 61008640 is about 7810.8027756435. The cubic root of 61008640 is about 393.6683028621.

Adding to 61008640 its reverse (4680016), we get a palindrome (65688656).

The spelling of 61008640 in words is "sixty-one million, eight thousand, six hundred forty".