10146620 has 48 divisors (see below), whose sum is σ = 24621408. Its totient is φ = 3471360.

The previous prime is 10146613. The next prime is 10146649. The reversal of 10146620 is 2664101.

10146620 = T₁₈₇ + T₁₈₈ + ... + T₄₀₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10146592 and 10146601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2384 + ... + 5096.

It is an arithmetic number, because the mean of its divisors is an integer number (512946).

Almost surely, 2^10146620 is an apocalyptic number.

10146620 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 10146620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12310704).

10146620 is an abundant number, since it is smaller than the sum of its proper divisors (14474788).

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

10146620 is a wasteful number, since it uses less digits than its factorization.

10146620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10146620 is about 3185.3759589725. The cubic root of 10146620 is about 216.4913084745.

The spelling of 10146620 in words is "ten million, one hundred forty-six thousand, six hundred twenty".