10696400 has 180 divisors, whose sum is σ = 32208876. Its totient is φ = 3379200.

The previous prime is 10696397. The next prime is 10696421. The reversal of 10696400 is 469601.

It can be written as a sum of positive squares in 6 ways, for example, as 379456 + 10316944 = 616^2 + 3212^2 .

It is a super-2 number, since 2×10696400² = 228825945920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10696400.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 629192 + ... + 629208.

Almost surely, 2^10696400 is an apocalyptic number.

10696400 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 10696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104438).

10696400 is an abundant number, since it is smaller than the sum of its proper divisors (21512476).

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

10696400 is a wasteful number, since it uses less digits than its factorization.

10696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 10696400 is about 3270.5351244101. The cubic root of 10696400 is about 220.3328295544.

The spelling of 10696400 in words is "ten million, six hundred ninety-six thousand, four hundred".