10627380 has 144 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 2534400.

The previous prime is 10627373. The next prime is 10627387. The reversal of 10627380 is 8372601.

10627380 is a `hidden beast` number, since 1 + 0 + 627 + 38 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10627373) and next prime (10627387).

It is a super-2 number, since 2×10627380² = 225882411328800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10627387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70305 + ... + 70455.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 2^10627380 is an apocalyptic number.

10627380 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 10627380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

10627380 is an abundant number, since it is smaller than the sum of its proper divisors (25225164).

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

10627380 is a wasteful number, since it uses less digits than its factorization.

10627380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10627380 is about 3259.9662574941. The cubic root of 10627380 is about 219.8578972132.

Adding to 10627380 its reverse (8372601), we get a palindrome (18999981).

The spelling of 10627380 in words is "ten million, six hundred twenty-seven thousand, three hundred eighty".