64420416 has 84 divisors (see below), whose sum is σ = 186714892. Its totient is φ = 21233664.

The previous prime is 64420351. The next prime is 64420427. The reversal of 64420416 is 61402446.

64420416 is a `hidden beast` number, since 644 + 2 + 0 + 4 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40449600 + 23970816 = 6360^2 + 4896^2 .

It is a super-2 number, since 2×64420416² = 8299979995226112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64420416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55296 + ... + 56448.

Almost surely, 2^64420416 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 64420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93357446).

64420416 is an abundant number, since it is smaller than the sum of its proper divisors (122294476).

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

64420416 is a wasteful number, since it uses less digits than its factorization.

64420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64420416 is about 8026.2329893917. The cubic root of 64420416 is about 400.8739557792.

The spelling of 64420416 in words is "sixty-four million, four hundred twenty thousand, four hundred sixteen".