65224080 has 120 divisors (see below), whose sum is σ = 220821432. Its totient is φ = 17252352.

The previous prime is 65224073. The next prime is 65224091. The reversal of 65224080 is 8042256.

65224080 is a `hidden beast` number, since 652 + 2 + 4 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18766224 + 46457856 = 4332^2 + 6816^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×65224080² = 8508361223692800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112752 + ... + 113328.

Almost surely, 2^65224080 is an apocalyptic number.

65224080 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 65224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110410716).

65224080 is an abundant number, since it is smaller than the sum of its proper divisors (155597352).

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

65224080 is a wasteful number, since it uses less digits than its factorization.

65224080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 65224080 is about 8076.1426436140. The cubic root of 65224080 is about 402.5340788758.

The spelling of 65224080 in words is "sixty-five million, two hundred twenty-four thousand, eighty".