10684480 has 56 divisors (see below), whose sum is σ = 25722072. Its totient is φ = 4227072.

The previous prime is 10684469. The next prime is 10684501. The reversal of 10684480 is 8448601.

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 8856576 = 1352^2 + 2976^2 .

It is a super-2 number, since 2×10684480² = 228316225740800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55264 + ... + 55456.

Almost surely, 2^10684480 is an apocalyptic number.

10684480 is a gapful number since it is divisible by the number (10) 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 10684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12861036).

10684480 is an abundant number, since it is smaller than the sum of its proper divisors (15037592).

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

10684480 is a wasteful number, since it uses less digits than its factorization.

10684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 10684480 is about 3268.7122846773. The cubic root of 10684480 is about 220.2509532989.

The spelling of 10684480 in words is "ten million, six hundred eighty-four thousand, four hundred eighty".