61064960 has 72 divisors (see below), whose sum is σ = 159603696. Its totient is φ = 22200320.

The previous prime is 61064933. The next prime is 61064963. The reversal of 61064960 is 6946016.

It is a super-3 number, since 3×61064960³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61064963) 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, 11912 + ... + 16248.

It is an arithmetic number, because the mean of its divisors is an integer number (2216718).

Almost surely, 2^61064960 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 61064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79801848).

61064960 is an abundant number, since it is smaller than the sum of its proper divisors (98538736).

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

61064960 is a wasteful number, since it uses less digits than its factorization.

61064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 61064960 is about 7814.4072072039. The cubic root of 61064960 is about 393.7894036320.

The spelling of 61064960 in words is "sixty-one million, sixty-four thousand, nine hundred sixty".