10202496 has 48 divisors (see below), whose sum is σ = 27267660. Its totient is φ = 3379968.

The previous prime is 10202471. The next prime is 10202497. The reversal of 10202496 is 69420201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202497) 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 5 ways as a sum of consecutive naturals, for example, 62511 + ... + 62673.

Almost surely, 2^10202496 is an apocalyptic number.

10202496 is a gapful number since it is divisible by the number (16) 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 10202496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13633830).

10202496 is an abundant number, since it is smaller than the sum of its proper divisors (17065164).

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

10202496 is an frugal number, since it uses more digits than its factorization.

10202496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10202496 is about 3194.1346245893. The cubic root of 10202496 is about 216.8879768941.

Multiplying 10202496 by its sum of digits (24), we get a square (244859904 = 15648²).

10202496 divided by its sum of digits (24) gives a square (425104 = 652²).

Multiplying 10202496 by its product of nonzero digits (864), we get a square (8814956544 = 93888²).

Adding to 10202496 its reverse (69420201), we get a palindrome (79622697).

The spelling of 10202496 in words is "ten million, two hundred two thousand, four hundred ninety-six".