10748400 has 180 divisors, whose sum is σ = 37986408. Its totient is φ = 2595840.

The previous prime is 10748333. The next prime is 10748401. The reversal of 10748400 is 484701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10748401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202774 + ... + 202826.

Almost surely, 2^10748400 is an apocalyptic number.

10748400 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 10748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18993204).

10748400 is an abundant number, since it is smaller than the sum of its proper divisors (27238008).

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

10748400 is a wasteful number, since it uses less digits than its factorization.

10748400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10748400 is about 3278.4752553588. The cubic root of 10748400 is about 220.6892981092.

The spelling of 10748400 in words is "ten million, seven hundred forty-eight thousand, four hundred".