64872080 has 240 divisors, whose sum is σ = 201862080. Its totient is φ = 19160064.

The previous prime is 64872077. The next prime is 64872083. The reversal of 64872080 is 8027846.

It is an interprime number because it is at equal distance from previous prime (64872077) and next prime (64872083).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 64872080.

It is not an unprimeable number, because it can be changed into a prime (64872083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968207 + ... + 968273.

It is an arithmetic number, because the mean of its divisors is an integer number (841092).

Almost surely, 2^64872080 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 64872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100931040).

64872080 is an abundant number, since it is smaller than the sum of its proper divisors (136990000).

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

64872080 is a wasteful number, since it uses less digits than its factorization.

64872080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 64872080 is about 8054.3205796641. The cubic root of 64872080 is about 401.8086430334.

The spelling of 64872080 in words is "sixty-four million, eight hundred seventy-two thousand, eighty".