10742420 has 48 divisors (see below), whose sum is σ = 24648960. Its totient is φ = 3908736.

The previous prime is 10742387. The next prime is 10742437. The reversal of 10742420 is 2424701.

10742420 is digitally balanced in base 2, because in such base 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 10742392 and 10742401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20279 + ... + 20801.

It is an arithmetic number, because the mean of its divisors is an integer number (513520).

Almost surely, 2^10742420 is an apocalyptic number.

10742420 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 10742420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324480).

10742420 is an abundant number, since it is smaller than the sum of its proper divisors (13906540).

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

10742420 is a wasteful number, since it uses less digits than its factorization.

10742420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 10742420 is about 3277.5631191481. The cubic root of 10742420 is about 220.6483628126.

The spelling of 10742420 in words is "ten million, seven hundred forty-two thousand, four hundred twenty".