10507620 has 48 divisors (see below), whose sum is σ = 29836800. Its totient is φ = 2762496.

The previous prime is 10507591. The next prime is 10507631. The reversal of 10507620 is 2670501.

It is a super-2 number, since 2×10507620² = 220820156128800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3181 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (621600).

Almost surely, 2^10507620 is an apocalyptic number.

10507620 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 10507620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14918400).

10507620 is an abundant number, since it is smaller than the sum of its proper divisors (19329180).

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

10507620 is a wasteful number, since it uses less digits than its factorization.

10507620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10507620 is about 3241.5459274858. The cubic root of 10507620 is about 219.0289155123.

The spelling of 10507620 in words is "ten million, five hundred seven thousand, six hundred twenty".