6515964 has 180 divisors, whose sum is σ = 22320144. Its totient is φ = 1617408.

The previous prime is 6515963. The next prime is 6516001. The reversal of 6515964 is 4695156.

6515964 = 197² + 198² + ... + 300².

6515964 is a `hidden beast` number, since 65 + 1 + 596 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6515963) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 383284 + ... + 383300.

Almost surely, 2^6515964 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 6515964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160072).

6515964 is an abundant number, since it is smaller than the sum of its proper divisors (15804180).

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

6515964 is a wasteful number, since it uses less digits than its factorization.

6515964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 6515964 is about 2552.6386348248. The cubic root of 6515964 is about 186.7782170553.

The spelling of 6515964 in words is "six million, five hundred fifteen thousand, nine hundred sixty-four".