65825040 has 40 divisors (see below), whose sum is σ = 204058368. Its totient is φ = 17553280.

The previous prime is 65825017. The next prime is 65825047. The reversal of 65825040 is 4052856.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 65824989 and 65825007.

It is not an unprimeable number, because it can be changed into a prime (65825047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136896 + ... + 137375.

Almost surely, 2^65825040 is an apocalyptic number.

65825040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65825040 is an abundant number, since it is smaller than the sum of its proper divisors (138233328).

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

65825040 is a wasteful number, since it uses less digits than its factorization.

65825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274287 (or 274281 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 65825040 is about 8113.2632152544. The cubic root of 65825040 is about 403.7665873877.

Adding to 65825040 its reverse (4052856), we get a palindrome (69877896).

The spelling of 65825040 in words is "sixty-five million, eight hundred twenty-five thousand, forty".