61464768 has 56 divisors (see below), whose sum is σ = 164122608. Its totient is φ = 20299776.

The previous prime is 61464761. The next prime is 61464797. The reversal of 61464768 is 86746416.

It is not an unprimeable number, because it can be changed into a prime (61464761) 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, 20280 + ... + 23112.

Almost surely, 2^61464768 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 61464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82061304).

61464768 is an abundant number, since it is smaller than the sum of its proper divisors (102657840).

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

61464768 is a wasteful number, since it uses less digits than its factorization.

61464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2951 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 61464768 is about 7839.9469385959. The cubic root of 61464768 is about 394.6469483290.

The spelling of 61464768 in words is "sixty-one million, four hundred sixty-four thousand, seven hundred sixty-eight".