64225920 has 128 divisors (see below), whose sum is σ = 223404480. Its totient is φ = 15564800.

The previous prime is 64225919. The next prime is 64225921. The reversal of 64225920 is 2952246.

It is an interprime number because it is at equal distance from previous prime (64225919) and next prime (64225921).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (64225921) 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, 19600 + ... + 22640.

Almost surely, 2^64225920 is an apocalyptic number.

64225920 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 64225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111702240).

64225920 is an abundant number, since it is smaller than the sum of its proper divisors (159178560).

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

64225920 is a wasteful number, since it uses less digits than its factorization.

64225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 64225920 is about 8014.1075610451. The cubic root of 64225920 is about 400.4701139324.

It can be divided in two parts, 642 and 25920, that added together give a palindrome (26562).

The spelling of 64225920 in words is "sixty-four million, two hundred twenty-five thousand, nine hundred twenty".