10973640 has 64 divisors (see below), whose sum is σ = 34660800. Its totient is φ = 2771712.

The previous prime is 10973639. The next prime is 10973647. The reversal of 10973640 is 4637901.

It is a happy number.

10973640 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 10973598 and 10973607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10973647) 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, 127 + ... + 4686.

It is an arithmetic number, because the mean of its divisors is an integer number (541575).

Almost surely, 2^10973640 is an apocalyptic number.

10973640 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 10973640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17330400).

10973640 is an abundant number, since it is smaller than the sum of its proper divisors (23687160).

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

10973640 is a wasteful number, since it uses less digits than its factorization.

10973640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 10973640 is about 3312.6484872380. The cubic root of 10973640 is about 222.2202181301.

The spelling of 10973640 in words is "ten million, nine hundred seventy-three thousand, six hundred forty".