61603968 has 64 divisors (see below), whose sum is σ = 164970720. Its totient is φ = 20367360.

The previous prime is 61603957. The next prime is 61603987. The reversal of 61603968 is 86930616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52023 + ... + 53193.

Almost surely, 2^61603968 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 61603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82485360).

61603968 is an abundant number, since it is smaller than the sum of its proper divisors (103366752).

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

61603968 is a wasteful number, since it uses less digits than its factorization.

61603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 61603968 is about 7848.8195290757. The cubic root of 61603968 is about 394.9446442750.

The spelling of 61603968 in words is "sixty-one million, six hundred three thousand, nine hundred sixty-eight".