64895040 has 448 divisors, whose sum is σ = 277977600. Its totient is φ = 13934592.

The previous prime is 64895021. The next prime is 64895057. The reversal of 64895040 is 4059846.

64895040 is a `hidden beast` number, since 648 + 9 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×64895040² = 8422732433203200, which contains 22 as substring.

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 = 64894986 and 64895004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1753902 + ... + 1753938.

Almost surely, 2^64895040 is an apocalyptic number.

64895040 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 64895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138988800).

64895040 is an abundant number, since it is smaller than the sum of its proper divisors (213082560).

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

64895040 is a wasteful number, since it uses less digits than its factorization.

64895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 64895040 is about 8055.7457755319. The cubic root of 64895040 is about 401.8560411245.

The spelling of 64895040 in words is "sixty-four million, eight hundred ninety-five thousand, forty".