10962640 has 80 divisors (see below), whose sum is σ = 27998208. Its totient is φ = 3967488.

The previous prime is 10962631. The next prime is 10962643. The reversal of 10962640 is 4626901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10962599 and 10962608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10962643) 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 15 ways as a sum of consecutive naturals, for example, 86257 + ... + 86383.

Almost surely, 2^10962640 is an apocalyptic number.

10962640 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 10962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104).

10962640 is an abundant number, since it is smaller than the sum of its proper divisors (17035568).

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

10962640 is a wasteful number, since it uses less digits than its factorization.

10962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 10962640 is about 3310.9877680233. The cubic root of 10962640 is about 222.1459419671.

The spelling of 10962640 in words is "ten million, nine hundred sixty-two thousand, six hundred forty".