10620480 has 224 divisors, whose sum is σ = 38916864. Its totient is φ = 2433024.

The previous prime is 10620479. The next prime is 10620481. The reversal of 10620480 is 8402601.

It is an interprime number because it is at equal distance from previous prime (10620479) and next prime (10620481).

It is a super-2 number, since 2×10620480² = 225589190860800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10620481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287022 + ... + 287058.

It is an arithmetic number, because the mean of its divisors is an integer number (173736).

Almost surely, 2^10620480 is an apocalyptic number.

10620480 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 10620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

10620480 is an abundant number, since it is smaller than the sum of its proper divisors (28296384).

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

10620480 is a wasteful number, since it uses less digits than its factorization.

10620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10620480 is about 3258.9077924974. The cubic root of 10620480 is about 219.8103048017.

The spelling of 10620480 in words is "ten million, six hundred twenty thousand, four hundred eighty".