64247040 has 432 divisors, whose sum is σ = 269317440. Its totient is φ = 14376960.

The previous prime is 64247039. The next prime is 64247083. The reversal of 64247040 is 4074246.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64246995 and 64247013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4942074 + ... + 4942086.

It is an arithmetic number, because the mean of its divisors is an integer number (623420).

Almost surely, 2^64247040 is an apocalyptic number.

64247040 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 64247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134658720).

64247040 is an abundant number, since it is smaller than the sum of its proper divisors (205070400).

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

64247040 is a wasteful number, since it uses less digits than its factorization.

64247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 64247040 is about 8015.4251290870. The cubic root of 64247040 is about 400.5140058786.

The spelling of 64247040 in words is "sixty-four million, two hundred forty-seven thousand, forty".