10742400 has 144 divisors (see below), whose sum is σ = 38434110. Its totient is φ = 2856960.

The previous prime is 10742387. The next prime is 10742437. The reversal of 10742400 is 424701.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8156736 + 2585664 = 2856^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 28614 + ... + 28986.

Almost surely, 2^10742400 is an apocalyptic number.

10742400 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 10742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19217055).

10742400 is an abundant number, since it is smaller than the sum of its proper divisors (27691710).

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

10742400 is a wasteful number, since it uses less digits than its factorization.

10742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10742400 is about 3277.5600680994. The cubic root of 10742400 is about 220.6482258797.

The spelling of 10742400 in words is "ten million, seven hundred forty-two thousand, four hundred".