10036964 has 36 divisors (see below), whose sum is σ = 20947500. Its totient is φ = 4193280.

The previous prime is 10036951. The next prime is 10036967. The reversal of 10036964 is 46963001.

It can be written as a sum of positive squares in 2 ways, for example, as 1960000 + 8076964 = 1400^2 + 2842^2 .

It is a super-3 number, since 3×10036964³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10036967) 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 11 ways as a sum of consecutive naturals, for example, 7412 + ... + 8660.

It is an arithmetic number, because the mean of its divisors is an integer number (581875).

Almost surely, 2^10036964 is an apocalyptic number.

10036964 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 10036964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473750).

10036964 is an abundant number, since it is smaller than the sum of its proper divisors (10910536).

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

10036964 is a wasteful number, since it uses less digits than its factorization.

10036964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 10036964 is about 3168.1167907765. The cubic root of 10036964 is about 215.7085976768.

Adding to 10036964 its reverse (46963001), we get a palindrome (56999965).

Subtracting 10036964 from its reverse (46963001), we obtain a cube (36926037 = 333³).

The spelling of 10036964 in words is "ten million, thirty-six thousand, nine hundred sixty-four".