10946040 has 128 divisors (see below), whose sum is σ = 38223360. Its totient is φ = 2456064.

The previous prime is 10946009. The next prime is 10946041. The reversal of 10946040 is 4064901.

10946040 = T₉₁ + T₉₂ + ... + T₄₀₄.

10946040 is nontrivially palindromic in base 11.

10946040 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 Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10946040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10946041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69642 + ... + 69798.

It is an arithmetic number, because the mean of its divisors is an integer number (298620).

Almost surely, 2^10946040 is an apocalyptic number.

10946040 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 10946040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

10946040 is an abundant number, since it is smaller than the sum of its proper divisors (27277320).

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

10946040 is a wasteful number, since it uses less digits than its factorization.

10946040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10946040 is about 3308.4800135410. The cubic root of 10946040 is about 222.0337583595.

The spelling of 10946040 in words is "ten million, nine hundred forty-six thousand, forty".