61736064 has 128 divisors (see below), whose sum is σ = 179928000. Its totient is φ = 18640896.

The previous prime is 61736063. The next prime is 61736069. The reversal of 61736064 is 46063716.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×61736064² = 7622683196424192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61736063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414262 + ... + 414410.

Almost surely, 2^61736064 is an apocalyptic number.

61736064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61736064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89964000).

61736064 is an abundant number, since it is smaller than the sum of its proper divisors (118191936).

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

61736064 is a wasteful number, since it uses less digits than its factorization.

61736064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 61736064 is about 7857.2300462695. The cubic root of 61736064 is about 395.2267330449.

The spelling of 61736064 in words is "sixty-one million, seven hundred thirty-six thousand, sixty-four".