61008576 has 56 divisors (see below), whose sum is σ = 166999920. Its totient is φ = 19633152.

The previous prime is 61008553. The next prime is 61008583. The reversal of 61008576 is 67580016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 11046.

Almost surely, 2^61008576 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 61008576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83499960).

61008576 is an abundant number, since it is smaller than the sum of its proper divisors (105991344).

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

61008576 is a wasteful number, since it uses less digits than its factorization.

61008576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11001 (or 10991 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 61008576 is about 7810.7986787524. The cubic root of 61008576 is about 393.6681652052.

The spelling of 61008576 in words is "sixty-one million, eight thousand, five hundred seventy-six".