10934400 has 192 divisors, whose sum is σ = 38702880. Its totient is φ = 2703360.

The previous prime is 10934393. The next prime is 10934423. The reversal of 10934400 is 443901.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10934400² = 239122206720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163167 + ... + 163233.

Almost surely, 2^10934400 is an apocalyptic number.

10934400 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 10934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19351440).

10934400 is an abundant number, since it is smaller than the sum of its proper divisors (27768480).

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

10934400 is a wasteful number, since it uses less digits than its factorization.

10934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10934400 is about 3306.7204296705. The cubic root of 10934400 is about 221.9550270071.

The spelling of 10934400 in words is "ten million, nine hundred thirty-four thousand, four hundred".