65461680 has 240 divisors, whose sum is σ = 236770560. Its totient is φ = 16169472.

The previous prime is 65461673. The next prime is 65461687. The reversal of 65461680 is 8616456.

It is an interprime number because it is at equal distance from previous prime (65461673) and next prime (65461687).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (65461687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 977007 + ... + 977073.

It is an arithmetic number, because the mean of its divisors is an integer number (986544).

Almost surely, 2^65461680 is an apocalyptic number.

65461680 is a gapful number since it is divisible by the number (60) 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 65461680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

65461680 is an abundant number, since it is smaller than the sum of its proper divisors (171308880).

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

65461680 is a wasteful number, since it uses less digits than its factorization.

65461680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 65461680 is about 8090.8392642544. The cubic root of 65461680 is about 403.0222738070.

The spelling of 65461680 in words is "sixty-five million, four hundred sixty-one thousand, six hundred eighty".