10400796 has 72 divisors (see below), whose sum is σ = 30357600. Its totient is φ = 2941056.

The previous prime is 10400783. The next prime is 10400801. The reversal of 10400796 is 69700401.

10400796 = T₁₉₆ + T₁₉₇ + ... + T₄₁₁.

10400796 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 congruent number.

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, 37410 + ... + 37686.

Almost surely, 2^10400796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178800).

10400796 is an abundant number, since it is smaller than the sum of its proper divisors (19956804).

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

10400796 is a wasteful number, since it uses less digits than its factorization.

10400796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 438 counting only the distinct ones).

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

The square root of 10400796 is about 3225.0265115189. The cubic root of 10400796 is about 218.2841453723.

The spelling of 10400796 in words is "ten million, four hundred thousand, seven hundred ninety-six".