61514664 has 64 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 19599360.

The previous prime is 61514623. The next prime is 61514669. The reversal of 61514664 is 46641516.

It is a happy number.

61514664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61514669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65752 + ... + 66680.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2^61514664 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 61514664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

61514664 is an abundant number, since it is smaller than the sum of its proper divisors (99189336).

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

61514664 is a wasteful number, since it uses less digits than its factorization.

61514664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1054 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 61514664 is about 7843.1284574460. The cubic root of 61514664 is about 394.7537085584.

It can be divided in two parts, 6 and 1514664, that added together give a triangular number (1514670 = T₁₇₄₀).

The spelling of 61514664 in words is "sixty-one million, five hundred fourteen thousand, six hundred sixty-four".