64121280 has 112 divisors (see below), whose sum is σ = 215615520. Its totient is φ = 16089088.

The previous prime is 64121273. The next prime is 64121287. The reversal of 64121280 is 8212146.

It is an interprime number because it is at equal distance from previous prime (64121273) and next prime (64121287).

It is a super-2 number, since 2×64121280² = 8223077097676800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64121280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64121287) 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, 14356 + ... + 18284.

Almost surely, 2^64121280 is an apocalyptic number.

64121280 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 64121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107807760).

64121280 is an abundant number, since it is smaller than the sum of its proper divisors (151494240).

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

64121280 is a wasteful number, since it uses less digits than its factorization.

64121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 64121280 is about 8007.5764123735. The cubic root of 64121280 is about 400.2525072334.

The spelling of 64121280 in words is "sixty-four million, one hundred twenty-one thousand, two hundred eighty".