10633364 has 48 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 4224000.

The previous prime is 10633351. The next prime is 10633367. The reversal of 10633364 is 46333601.

It is a super-2 number, since 2×10633364² = 226136859912992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10633367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42239 + ... + 42489.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^10633364 is an apocalyptic number.

10633364 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 10633364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

10633364 is an abundant number, since it is smaller than the sum of its proper divisors (12228076).

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

10633364 is a wasteful number, since it uses less digits than its factorization.

10633364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 10633364 is about 3260.8839292437. The cubic root of 10633364 is about 219.8991548829.

Adding to 10633364 its reverse (46333601), we get a palindrome (56966965).

The spelling of 10633364 in words is "ten million, six hundred thirty-three thousand, three hundred sixty-four".