10640448 has 252 divisors, whose sum is σ = 39524940. Its totient is φ = 2709504.

The previous prime is 10640429. The next prime is 10640449. The reversal of 10640448 is 84404601.

10640448 is a `hidden beast` number, since 10 + 640 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 7225344 = 1848^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×10640448² = 226438267281408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10640449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366898 + ... + 366926.

It is an arithmetic number, because the mean of its divisors is an integer number (156845).

Almost surely, 2^10640448 is an apocalyptic number.

10640448 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 10640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762470).

10640448 is an abundant number, since it is smaller than the sum of its proper divisors (28884492).

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

10640448 is a wasteful number, since it uses less digits than its factorization.

10640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

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

The square root of 10640448 is about 3261.9699569432. The cubic root of 10640448 is about 219.9479766798.

The spelling of 10640448 in words is "ten million, six hundred forty thousand, four hundred forty-eight".