65093760 has 128 divisors (see below), whose sum is σ = 230601600. Its totient is φ = 17353728.

The previous prime is 65093747. The next prime is 65093789. The reversal of 65093760 is 6739056.

It is a happy number.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15397 + ... + 19163.

It is an arithmetic number, because the mean of its divisors is an integer number (1801575).

Almost surely, 2^65093760 is an apocalyptic number.

65093760 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 65093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115300800).

65093760 is an abundant number, since it is smaller than the sum of its proper divisors (165507840).

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

65093760 is a wasteful number, since it uses less digits than its factorization.

65093760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 65093760 is about 8068.0704012794. The cubic root of 65093760 is about 402.2658077209.

The spelling of 65093760 in words is "sixty-five million, ninety-three thousand, seven hundred sixty".