10657480 has 64 divisors (see below), whose sum is σ = 25992000. Its totient is φ = 3919104.

The previous prime is 10657477. The next prime is 10657519. The reversal of 10657480 is 8475601.

10657480 = 142² + 143² + ... + 326².

It is a super-2 number, since 2×10657480² = 227163759900800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27931 + ... + 28309.

It is an arithmetic number, because the mean of its divisors is an integer number (406125).

It is a vampire number, since it can be written as 1406 ⋅ 7580 (with its own digits).

Almost surely, 2^10657480 is an apocalyptic number.

10657480 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 10657480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12996000).

10657480 is an abundant number, since it is smaller than the sum of its proper divisors (15334520).

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

10657480 is a wasteful number, since it uses less digits than its factorization.

10657480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 10657480 is about 3264.5796054010. The cubic root of 10657480 is about 220.0652698899.

The spelling of 10657480 in words is "ten million, six hundred fifty-seven thousand, four hundred eighty".