64126080 has 160 divisors (see below), whose sum is σ = 229190940. Its totient is φ = 17086464.

The previous prime is 64126079. The next prime is 64126087. The reversal of 64126080 is 8062146.

It can be written as a sum of positive squares in 2 ways, for example, as 63872064 + 254016 = 7992^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×64126080² = 8224308272332800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (64126087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51222 + ... + 52458.

Almost surely, 2^64126080 is an apocalyptic number.

64126080 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 64126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114595470).

64126080 is an abundant number, since it is smaller than the sum of its proper divisors (165064860).

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

64126080 is a wasteful number, since it uses less digits than its factorization.

64126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 64126080 is about 8007.8761229180. The cubic root of 64126080 is about 400.2624943707.

The spelling of 64126080 in words is "sixty-four million, one hundred twenty-six thousand, eighty".