65007936 has 168 divisors, whose sum is σ = 222528384. Its totient is φ = 17740800.

The previous prime is 65007931. The next prime is 65007941. The reversal of 65007936 is 63970056.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65007931) and next prime (65007941).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65007936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65007931) 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, 92386 + ... + 93086.

Almost surely, 2^65007936 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 65007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111264192).

65007936 is an abundant number, since it is smaller than the sum of its proper divisors (157520448).

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

65007936 is a wasteful number, since it uses less digits than its factorization.

65007936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 65007936 is about 8062.7499031038. The cubic root of 65007936 is about 402.0889385159.

The spelling of 65007936 in words is "sixty-five million, seven thousand, nine hundred thirty-six".