10878240 has 96 divisors (see below), whose sum is σ = 34727616. Its totient is φ = 2862080.

The previous prime is 10878239. The next prime is 10878271. The reversal of 10878240 is 4287801.

10878240 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 a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10878240² = 236672210995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10878198 and 10878207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62794 + ... + 62966.

It is an arithmetic number, because the mean of its divisors is an integer number (361746).

Almost surely, 2^10878240 is an apocalyptic number.

10878240 is a gapful number since it is divisible by the number (10) 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 10878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17363808).

10878240 is an abundant number, since it is smaller than the sum of its proper divisors (23849376).

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

10878240 is a wasteful number, since it uses less digits than its factorization.

10878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 10878240 is about 3298.2177005164. The cubic root of 10878240 is about 221.5743813433.

The spelling of 10878240 in words is "ten million, eight hundred seventy-eight thousand, two hundred forty".