10064448 has 84 divisors (see below), whose sum is σ = 29301948. Its totient is φ = 3302400.

The previous prime is 10064443. The next prime is 10064449. The reversal of 10064448 is 84446001.

10064448 is a `hidden beast` number, since 10 + 0 + 644 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 627264 = 3072^2 + 792^2 .

It is a super-2 number, since 2×10064448² = 202586227089408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10064443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58090 + ... + 58262.

Almost surely, 2^10064448 is an apocalyptic number.

10064448 is a gapful number since it is divisible by the number (18) 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 10064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650974).

10064448 is an abundant number, since it is smaller than the sum of its proper divisors (19237500).

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

10064448 is a wasteful number, since it uses less digits than its factorization.

10064448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

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

The square root of 10064448 is about 3172.4514180677. The cubic root of 10064448 is about 215.9053082886.

The spelling of 10064448 in words is "ten million, sixty-four thousand, four hundred forty-eight".