65162640 has 80 divisors (see below), whose sum is σ = 205361856. Its totient is φ = 17088000.

The previous prime is 65162639. The next prime is 65162677. The reversal of 65162640 is 4626156.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 65162598 and 65162607.

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, 12415 + ... + 16865.

Almost surely, 2^65162640 is an apocalyptic number.

65162640 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 65162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102680928).

65162640 is an abundant number, since it is smaller than the sum of its proper divisors (140199216).

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

65162640 is a wasteful number, since it uses less digits than its factorization.

65162640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 65162640 is about 8072.3379513001. The cubic root of 65162640 is about 402.4076456960.

Adding to 65162640 its reverse (4626156), we get a palindrome (69788796).

The spelling of 65162640 in words is "sixty-five million, one hundred sixty-two thousand, six hundred forty".