65407540 has 48 divisors (see below), whose sum is σ = 151087104. Its totient is φ = 23587200.

The previous prime is 65407523. The next prime is 65407541. The reversal of 65407540 is 4570456.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65407541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26770 + ... + 29110.

It is an arithmetic number, because the mean of its divisors is an integer number (3147648).

Almost surely, 2^65407540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65407540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75543552).

65407540 is an abundant number, since it is smaller than the sum of its proper divisors (85679564).

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

65407540 is a wasteful number, since it uses less digits than its factorization.

65407540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 65407540 is about 8087.4928129798. The cubic root of 65407540 is about 402.9111368082.

Adding to 65407540 its reverse (4570456), we get a palindrome (69977996).

The spelling of 65407540 in words is "sixty-five million, four hundred seven thousand, five hundred forty".