64122432 has 112 divisors (see below), whose sum is σ = 187586112. Its totient is φ = 19169280.

The previous prime is 64122431. The next prime is 64122433. The reversal of 64122432 is 23422146.

It is an interprime number because it is at equal distance from previous prime (64122431) and next prime (64122433).

It is a super-2 number, since 2×64122432² = 8223372571189248, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (64122431) 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, 204708 + ... + 205020.

It is an arithmetic number, because the mean of its divisors is an integer number (1674876).

Almost surely, 2^64122432 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 64122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93793056).

64122432 is an abundant number, since it is smaller than the sum of its proper divisors (123463680).

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

64122432 is a wasteful number, since it uses less digits than its factorization.

64122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 64122432 is about 8007.6483439272. The cubic root of 64122432 is about 400.2549041918.

Adding to 64122432 its reverse (23422146), we get a palindrome (87544578).

The spelling of 64122432 in words is "sixty-four million, one hundred twenty-two thousand, four hundred thirty-two".