64204224 has 224 divisors, whose sum is σ = 212238336. Its totient is φ = 16727040.

The previous prime is 64204219. The next prime is 64204267. The reversal of 64204224 is 42240246.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 64204194 and 64204203.

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, 958239 + ... + 958305.

Almost surely, 2^64204224 is an apocalyptic number.

64204224 is a gapful number since it is divisible by the number (64) 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 64204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106119168).

64204224 is an abundant number, since it is smaller than the sum of its proper divisors (148034112).

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

64204224 is a wasteful number, since it uses less digits than its factorization.

64204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 64204224 is about 8012.7538337328. The cubic root of 64204224 is about 400.4250149125.

The spelling of 64204224 in words is "sixty-four million, two hundred four thousand, two hundred twenty-four".