10492416 has 200 divisors, whose sum is σ = 35649504. Its totient is φ = 3041280.

The previous prime is 10492411. The next prime is 10492429. The reversal of 10492416 is 61429401.

It is a super-2 number, since 2×10492416² = 220181587034112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10492416.

It is not an unprimeable number, because it can be changed into a prime (10492411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 456181 + ... + 456203.

Almost surely, 2^10492416 is an apocalyptic number.

10492416 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 10492416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824752).

10492416 is an abundant number, since it is smaller than the sum of its proper divisors (25157088).

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

10492416 is an equidigital number, since it uses as much as digits as its factorization.

10492416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10492416 is about 3239.1999012102. The cubic root of 10492416 is about 218.9232232276.

The spelling of 10492416 in words is "ten million, four hundred ninety-two thousand, four hundred sixteen".