64242464 has 96 divisors (see below), whose sum is σ = 151139520. Its totient is φ = 26496000.

The previous prime is 64242463. The next prime is 64242469. The reversal of 64242464 is 46424246.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 64242464.

It is not an unprimeable number, because it can be changed into a prime (64242461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462107 + ... + 462245.

It is an arithmetic number, because the mean of its divisors is an integer number (1574370).

Almost surely, 2^64242464 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 64242464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75569760).

64242464 is an abundant number, since it is smaller than the sum of its proper divisors (86897056).

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

64242464 is a wasteful number, since it uses less digits than its factorization.

64242464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 64242464 is about 8015.1396743912. The cubic root of 64242464 is about 400.5044967733.

It can be divided in two parts, 6424 and 2464, that added together give a palindrome (8888).

The spelling of 64242464 in words is "sixty-four million, two hundred forty-two thousand, four hundred sixty-four".