65168040 has 96 divisors (see below), whose sum is σ = 227443680. Its totient is φ = 14894208.

The previous prime is 65168027. The next prime is 65168041. The reversal of 65168040 is 4086156.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 65167989 and 65168007.

It is not an unprimeable number, because it can be changed into a prime (65168041) 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, 339 + ... + 11421.

It is an arithmetic number, because the mean of its divisors is an integer number (2369205).

Almost surely, 2^65168040 is an apocalyptic number.

65168040 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 65168040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113721840).

65168040 is an abundant number, since it is smaller than the sum of its proper divisors (162275640).

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

65168040 is a wasteful number, since it uses less digits than its factorization.

65168040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 65168040 is about 8072.6724199611. The cubic root of 65168040 is about 402.4187611720.

The spelling of 65168040 in words is "sixty-five million, one hundred sixty-eight thousand, forty".