10778952 has 64 divisors (see below), whose sum is σ = 29548800. Its totient is φ = 3261440.

The previous prime is 10778921. The next prime is 10778953. The reversal of 10778952 is 25987701.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10778952.

It is not an unprimeable number, because it can be changed into a prime (10778953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11377 + ... + 12287.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 2^10778952 is an apocalyptic number.

10778952 is a gapful number since it is divisible by the number (12) 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 10778952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774400).

10778952 is an abundant number, since it is smaller than the sum of its proper divisors (18769848).

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

10778952 is a wasteful number, since it uses less digits than its factorization.

10778952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 10778952 is about 3283.1314320325. The cubic root of 10778952 is about 220.8982011724.

The spelling of 10778952 in words is "ten million, seven hundred seventy-eight thousand, nine hundred fifty-two".