10779552 has 72 divisors (see below), whose sum is σ = 35040096. Its totient is φ = 3079296.

The previous prime is 10779551. The next prime is 10779557. The reversal of 10779552 is 25597701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×10779552³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10779551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 658 + ... + 4689.

It is an arithmetic number, because the mean of its divisors is an integer number (486668).

Almost surely, 2^10779552 is an apocalyptic number.

10779552 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 10779552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520048).

10779552 is an abundant number, since it is smaller than the sum of its proper divisors (24260544).

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

10779552 is a wasteful number, since it uses less digits than its factorization.

10779552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 10779552 is about 3283.2228069383. Note that the first 3 decimals coincide. The cubic root of 10779552 is about 220.9022997917.

The spelling of 10779552 in words is "ten million, seven hundred seventy-nine thousand, five hundred fifty-two".