64197144 has 128 divisors (see below), whose sum is σ = 199584000. Its totient is φ = 18950400.

The previous prime is 64197131. The next prime is 64197157. The reversal of 64197144 is 44179146.

64197144 is a `hidden beast` number, since 641 + 9 + 7 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (64197131) and next prime (64197157).

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 = 64197099 and 64197108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97087 + ... + 97745.

It is an arithmetic number, because the mean of its divisors is an integer number (1559250).

Almost surely, 2^64197144 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 64197144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792000).

64197144 is an abundant number, since it is smaller than the sum of its proper divisors (135386856).

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

64197144 is a wasteful number, since it uses less digits than its factorization.

64197144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

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

The square root of 64197144 is about 8012.3120258762. The cubic root of 64197144 is about 400.4102956664.

The spelling of 64197144 in words is "sixty-four million, one hundred ninety-seven thousand, one hundred forty-four".