10727970 has 128 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 2338560.

The previous prime is 10727947. The next prime is 10727987. The reversal of 10727970 is 7972701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181801 + ... + 181859.

It is an arithmetic number, because the mean of its divisors is an integer number (243000).

Almost surely, 2^10727970 is an apocalyptic number.

10727970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10727970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

10727970 is an abundant number, since it is smaller than the sum of its proper divisors (20376030).

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

10727970 is a wasteful number, since it uses less digits than its factorization.

10727970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 10727970 is about 3275.3579957006. The cubic root of 10727970 is about 220.5493845095.

The spelling of 10727970 in words is "ten million, seven hundred twenty-seven thousand, nine hundred seventy".