10742000 has 80 divisors (see below), whose sum is σ = 26810784. Its totient is φ = 4160000.

The previous prime is 10741993. The next prime is 10742003. The reversal of 10742000 is 24701.

It is a happy number.

10742000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81935 + ... + 82065.

Almost surely, 2^10742000 is an apocalyptic number.

10742000 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 10742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392).

10742000 is an abundant number, since it is smaller than the sum of its proper divisors (16068784).

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

10742000 is a wasteful number, since it uses less digits than its factorization.

10742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 10742000 is about 3277.4990465292. The cubic root of 10742000 is about 220.6454871874.

Adding to 10742000 its reverse (24701), we get a palindrome (10766701).

The spelling of 10742000 in words is "ten million, seven hundred forty-two thousand".