10019964 has 24 divisors (see below), whose sum is σ = 24186960. Its totient is φ = 3224704.

The previous prime is 10019963. The next prime is 10019969. The reversal of 10019964 is 46991001.

10019964 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 super-2 number, since 2×10019964² = 200799357122592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10019963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14049 + ... + 14744.

It is an arithmetic number, because the mean of its divisors is an integer number (1007790).

Almost surely, 2^10019964 is an apocalyptic number.

It is an amenable number.

10019964 is an abundant number, since it is smaller than the sum of its proper divisors (14166996).

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

10019964 is a wasteful number, since it uses less digits than its factorization.

10019964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28829 (or 28827 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 10019964 is about 3165.4326718476. The cubic root of 10019964 is about 215.5867441478.

The spelling of 10019964 in words is "ten million, nineteen thousand, nine hundred sixty-four".