10796400 has 90 divisors (see below), whose sum is σ = 37479000. Its totient is φ = 2878080.

The previous prime is 10796393. The next prime is 10796431. The reversal of 10796400 is 469701.

10796400 is a `hidden beast` number, since 10 + 7 + 9 + 640 + 0 = 666.

10796400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2101 + ... + 5099.

Almost surely, 2^10796400 is an apocalyptic number.

10796400 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 10796400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18739500).

10796400 is an abundant number, since it is smaller than the sum of its proper divisors (26682600).

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

10796400 is a wasteful number, since it uses less digits than its factorization.

10796400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10796400 is about 3285.7875768223. The cubic root of 10796400 is about 221.0173269790.

The spelling of 10796400 in words is "ten million, seven hundred ninety-six thousand, four hundred".