10736400 has 120 divisors (see below), whose sum is σ = 35979840. Its totient is φ = 2731520.

The previous prime is 10736393. The next prime is 10736413. The reversal of 10736400 is 463701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×10736400³ (a number of 22 digits) contains 333 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, 27406 + ... + 27794.

It is an arithmetic number, because the mean of its divisors is an integer number (299832).

Almost surely, 2^10736400 is an apocalyptic number.

10736400 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 10736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989920).

10736400 is an abundant number, since it is smaller than the sum of its proper divisors (25243440).

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

10736400 is a wasteful number, since it uses less digits than its factorization.

10736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10736400 is about 3276.6446252226. The cubic root of 10736400 is about 220.6071383539.

The spelling of 10736400 in words is "ten million, seven hundred thirty-six thousand, four hundred".