64527840 has 240 divisors, whose sum is σ = 245887488. Its totient is φ = 15842304.

The previous prime is 64527803. The next prime is 64527899. The reversal of 64527840 is 4872546.

64527840 is a `hidden beast` number, since 645 + 2 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 64527795 and 64527804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168289 + ... + 168671.

Almost surely, 2^64527840 is an apocalyptic number.

64527840 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 64527840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122943744).

64527840 is an abundant number, since it is smaller than the sum of its proper divisors (181359648).

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

64527840 is a wasteful number, since it uses less digits than its factorization.

64527840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 64527840 is about 8032.9222578088. The cubic root of 64527840 is about 401.0966572760.

The spelling of 64527840 in words is "sixty-four million, five hundred twenty-seven thousand, eight hundred forty".