64122840 has 128 divisors (see below), whose sum is σ = 216676800. Its totient is φ = 17076096.

The previous prime is 64122833. The next prime is 64122841. The reversal of 64122840 is 4822146.

It is a super-2 number, since 2×64122840² = 8223477219331200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64122841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87114 + ... + 87846.

Almost surely, 2^64122840 is an apocalyptic number.

64122840 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 64122840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108338400).

64122840 is an abundant number, since it is smaller than the sum of its proper divisors (152553960).

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

64122840 is an equidigital number, since it uses as much as digits as its factorization.

64122840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 64122840 is about 8007.6738195309. The cubic root of 64122840 is about 400.2557531077.

Adding to 64122840 its reverse (4822146), we get a palindrome (68944986).

The spelling of 64122840 in words is "sixty-four million, one hundred twenty-two thousand, eight hundred forty".