10021264 has 40 divisors (see below), whose sum is σ = 21436128. Its totient is φ = 4500480.

The previous prime is 10021259. The next prime is 10021267. The reversal of 10021264 is 46212001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10021267) 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, 16779 + ... + 17365.

Almost surely, 2^10021264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10718064).

10021264 is an abundant number, since it is smaller than the sum of its proper divisors (11414864).

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

10021264 is a wasteful number, since it uses less digits than its factorization.

10021264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10021264 is about 3165.6380083642. The cubic root of 10021264 is about 215.5960672235.

Adding to 10021264 its reverse (46212001), we get a palindrome (56233265).

The spelling of 10021264 in words is "ten million, twenty-one thousand, two hundred sixty-four".