10354736 has 40 divisors (see below), whose sum is σ = 23331840. Its totient is φ = 4359744.

The previous prime is 10354727. The next prime is 10354759. The reversal of 10354736 is 63745301.

It is a super-3 number, since 3×10354736³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10354699 and 10354708.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5825 + ... + 7391.

It is an arithmetic number, because the mean of its divisors is an integer number (583296).

Almost surely, 2^10354736 is an apocalyptic number.

10354736 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 10354736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665920).

10354736 is an abundant number, since it is smaller than the sum of its proper divisors (12977104).

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

10354736 is a wasteful number, since it uses less digits than its factorization.

10354736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 10354736 is about 3217.8775613749. The cubic root of 10354736 is about 217.9614442377.

The spelling of 10354736 in words is "ten million, three hundred fifty-four thousand, seven hundred thirty-six".