65351840 has 48 divisors (see below), whose sum is σ = 155144808. Its totient is φ = 26013696.

The previous prime is 65351837. The next prime is 65351843. The reversal of 65351840 is 4815356.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65351837) and next prime (65351843).

It can be written as a sum of positive squares in 4 ways, for example, as 23309584 + 42042256 = 4828^2 + 6484^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 65351797 and 65351806.

It is not an unprimeable number, because it can be changed into a prime (65351843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36404 + ... + 38156.

Almost surely, 2^65351840 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 65351840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77572404).

65351840 is an abundant number, since it is smaller than the sum of its proper divisors (89792968).

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

65351840 is a wasteful number, since it uses less digits than its factorization.

65351840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 65351840 is about 8084.0484907007. The cubic root of 65351840 is about 402.7967334647.

The spelling of 65351840 in words is "sixty-five million, three hundred fifty-one thousand, eight hundred forty".