64971144 has 96 divisors (see below), whose sum is σ = 212958720. Its totient is φ = 17468928.

The previous prime is 64971143. The next prime is 64971167. The reversal of 64971144 is 44117946.

64971144 is a `hidden beast` number, since 649 + 7 + 1 + 1 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64971099 and 64971108.

It is not an unprimeable number, because it can be changed into a prime (64971143) 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, 4777 + ... + 12359.

It is an arithmetic number, because the mean of its divisors is an integer number (2218320).

Almost surely, 2^64971144 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 64971144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106479360).

64971144 is an abundant number, since it is smaller than the sum of its proper divisors (147987576).

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

64971144 is a wasteful number, since it uses less digits than its factorization.

64971144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619 (or 7612 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 64971144 is about 8060.4679764887. The cubic root of 64971144 is about 402.0130685586.

The spelling of 64971144 in words is "sixty-four million, nine hundred seventy-one thousand, one hundred forty-four".