10779948 has 36 divisors (see below), whose sum is σ = 27380808. Its totient is φ = 3576000.

The previous prime is 10779943. The next prime is 10779953. The reversal of 10779948 is 84997701.

10779948 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10779943) and next prime (10779953).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10779941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8440 + ... + 9632.

It is an arithmetic number, because the mean of its divisors is an integer number (760578).

Almost surely, 2^10779948 is an apocalyptic number.

10779948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10779948 is an abundant number, since it is smaller than the sum of its proper divisors (16600860).

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

10779948 is a wasteful number, since it uses less digits than its factorization.

10779948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 10779948 is about 3283.2831129831. The cubic root of 10779948 is about 220.9050047971.

It can be divided in two parts, 1077 and 9948, that added together give a square (11025 = 105²).

The spelling of 10779948 in words is "ten million, seven hundred seventy-nine thousand, nine hundred forty-eight".