64065540 has 192 divisors, whose sum is σ = 229017600. Its totient is φ = 13265280.

The previous prime is 64065527. The next prime is 64065541. The reversal of 64065540 is 4556046.

64065540 is a nontrivial binomial coefficient, being equal to C(11320, 2).

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 = 64065498 and 64065507.

It is not an unprimeable number, because it can be changed into a prime (64065541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226239 + ... + 226521.

It is an arithmetic number, because the mean of its divisors is an integer number (1192800).

Almost surely, 2^64065540 is an apocalyptic number.

64065540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64065540 is the 11319-th triangular number and also the 5660-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64065540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114508800).

64065540 is an abundant number, since it is smaller than the sum of its proper divisors (164952060).

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

64065540 is a wasteful number, since it uses less digits than its factorization.

64065540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 64065540 is about 8004.0952018326. The cubic root of 64065540 is about 400.1364950841.

The spelling of 64065540 in words is "sixty-four million, sixty-five thousand, five hundred forty".