30782106 has 40 divisors (see below), whose sum is σ = 69521760. Its totient is φ = 10179432.

The previous prime is 30782099. The next prime is 30782107. The reversal of 30782106 is 60128703.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30782106.

It is not an unprimeable number, because it can be changed into a prime (30782107) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21835 + ... + 23201.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 2^30782106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30782106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34760880).

30782106 is an abundant number, since it is smaller than the sum of its proper divisors (38739654).

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

30782106 is a wasteful number, since it uses less digits than its factorization.

30782106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1511 counting only the distinct ones).

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

The square root of 30782106 is about 5548.1623984883. The cubic root of 30782106 is about 313.4003254474.

It can be divided in two parts, 3078 and 2106, that added together give a square (5184 = 72²).

The spelling of 30782106 in words is "thirty million, seven hundred eighty-two thousand, one hundred six".