10356480 has 216 divisors, whose sum is σ = 38263680. Its totient is φ = 2580480.

The previous prime is 10356461. The next prime is 10356481. The reversal of 10356480 is 8465301.

10356480 is a `hidden beast` number, since 10 + 3 + 5 + 648 + 0 = 666.

It is a super-3 number, since 3×10356480³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10356481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334065 + ... + 334095.

Almost surely, 2^10356480 is an apocalyptic number.

10356480 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 10356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

10356480 is an abundant number, since it is smaller than the sum of its proper divisors (27907200).

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

10356480 is a wasteful number, since it uses less digits than its factorization.

10356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10356480 is about 3218.1485360375. The cubic root of 10356480 is about 217.9736802947.

The spelling of 10356480 in words is "ten million, three hundred fifty-six thousand, four hundred eighty".