10001964 has 96 divisors (see below), whose sum is σ = 28901376. Its totient is φ = 2629440.

The previous prime is 10001963. The next prime is 10002007. The reversal of 10001964 is 46910001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10001964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001963) 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 31 ways as a sum of consecutive naturals, for example, 59809 + ... + 59975.

It is an arithmetic number, because the mean of its divisors is an integer number (301056).

Almost surely, 2^10001964 is an apocalyptic number.

10001964 is a gapful number since it is divisible by the number (14) 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 10001964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450688).

10001964 is an abundant number, since it is smaller than the sum of its proper divisors (18899412).

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

10001964 is a wasteful number, since it uses less digits than its factorization.

10001964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10001964 is about 3162.5881805888. The cubic root of 10001964 is about 215.4575724457.

Adding to 10001964 its reverse (46910001), we get a palindrome (56911965).

The spelling of 10001964 in words is "ten million, one thousand, nine hundred sixty-four".