65675610 has 288 divisors, whose sum is σ = 238073472. Its totient is φ = 12597120.

The previous prime is 65675593. The next prime is 65675627. The reversal of 65675610 is 1657656.

65675610 = 1518² + 1519² + ... + 1545².

It is a happy number.

65675610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65675593) and next prime (65675627).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 5051964 + ... + 5051976.

It is an arithmetic number, because the mean of its divisors is an integer number (826644).

Almost surely, 2^65675610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65675610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119036736).

65675610 is an abundant number, since it is smaller than the sum of its proper divisors (172397862).

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

65675610 is a wasteful number, since it uses less digits than its factorization.

65675610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 65675610 is about 8104.0489880059. The cubic root of 65675610 is about 403.4608245434.

The spelling of 65675610 in words is "sixty-five million, six hundred seventy-five thousand, six hundred ten".