10213632 has 216 divisors, whose sum is σ = 35712768. Its totient is φ = 2764800.

The previous prime is 10213631. The next prime is 10213639. The reversal of 10213632 is 23631201.

10213632 = 43³ + 44³ + ... + 81³.

10213632 is a `hidden beast` number, since 10 + 21 + 3 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10213631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329457 + ... + 329487.

Almost surely, 2^10213632 is an apocalyptic number.

10213632 is a gapful number since it is divisible by the number (12) 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 10213632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856384).

10213632 is an abundant number, since it is smaller than the sum of its proper divisors (25499136).

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

10213632 is a wasteful number, since it uses less digits than its factorization.

10213632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10213632 is about 3195.8773443297. The cubic root of 10213632 is about 216.9668591039.

Adding to 10213632 its reverse (23631201), we get a palindrome (33844833).

Subtracting 10213632 from its reverse (23631201), we obtain a square (13417569 = 3663²).

The spelling of 10213632 in words is "ten million, two hundred thirteen thousand, six hundred thirty-two".