10349600 has 72 divisors (see below), whose sum is σ = 26787348. Its totient is φ = 3891200.

The previous prime is 10349579. The next prime is 10349621. The reversal of 10349600 is 694301.

It is an interprime number because it is at equal distance from previous prime (10349579) and next prime (10349621).

It can be written as a sum of positive squares in 6 ways, for example, as 1752976 + 8596624 = 1324^2 + 2932^2 .

It is a super-2 number, since 2×10349600² = 214228440320000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13220 + ... + 13980.

Almost surely, 2^10349600 is an apocalyptic number.

10349600 is a gapful number since it is divisible by the number (10) 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 10349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13393674).

10349600 is an abundant number, since it is smaller than the sum of its proper divisors (16437748).

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

10349600 is a wasteful number, since it uses less digits than its factorization.

10349600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 10349600 is about 3217.0794208412. The cubic root of 10349600 is about 217.9254016284.

The spelling of 10349600 in words is "ten million, three hundred forty-nine thousand, six hundred".