61516064 has 24 divisors (see below), whose sum is σ = 128234988. Its totient is φ = 28948480.

The previous prime is 61516061. The next prime is 61516067. The reversal of 61516064 is 46061516.

It is an interprime number because it is at equal distance from previous prime (61516061) and next prime (61516067).

It can be written as a sum of positive squares in 2 ways, for example, as 59290000 + 2226064 = 7700^2 + 1492^2 .

It is a super-2 number, since 2×61516064² = 7568452260104192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61516061) 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 3 ways as a sum of consecutive naturals, for example, 55997 + ... + 57084.

Almost surely, 2^61516064 is an apocalyptic number.

It is an amenable number.

61516064 is an abundant number, since it is smaller than the sum of its proper divisors (66718924).

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

61516064 is a wasteful number, since it uses less digits than its factorization.

61516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113108 (or 113100 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 61516064 is about 7843.2177070384. The cubic root of 61516064 is about 394.7567032427.

The spelling of 61516064 in words is "sixty-one million, five hundred sixteen thousand, sixty-four".