10742868 has 60 divisors (see below), whose sum is σ = 28540512. Its totient is φ = 3522960.

The previous prime is 10742807. The next prime is 10742869. The reversal of 10742868 is 86824701.

10742868 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22771 + ... + 23237.

It is a vampire number, since it can be written as 1278 ⋅ 8406 (with its own digits).

Almost surely, 2^10742868 is an apocalyptic number.

10742868 is a gapful number since it is divisible by the number (18) 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 10742868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270256).

10742868 is an abundant number, since it is smaller than the sum of its proper divisors (17797644).

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

10742868 is a wasteful number, since it uses less digits than its factorization.

10742868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10742868 is about 3277.6314618944. The cubic root of 10742868 is about 220.6514300635.

The spelling of 10742868 in words is "ten million, seven hundred forty-two thousand, eight hundred sixty-eight".