65700648 has 96 divisors (see below), whose sum is σ = 202948200. Its totient is φ = 19021824.

The previous prime is 65700643. The next prime is 65700659. The reversal of 65700648 is 84600756.

It is a happy number.

65700648 is a `hidden beast` number, since 6 + 5 + 7 + 0 + 0 + 648 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55086084 + 10614564 = 7422^2 + 3258^2 .

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 (65700643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13848 + ... + 17976.

Almost surely, 2^65700648 is an apocalyptic number.

65700648 is a gapful number since it is divisible by the number (68) 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 65700648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101474100).

65700648 is an abundant number, since it is smaller than the sum of its proper divisors (137247552).

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

65700648 is a wasteful number, since it uses less digits than its factorization.

65700648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 65700648 is about 8105.5936241586. The cubic root of 65700648 is about 403.5120894836.

The spelling of 65700648 in words is "sixty-five million, seven hundred thousand, six hundred forty-eight".