10742564 has 36 divisors (see below), whose sum is σ = 22829184. Its totient is φ = 4401936.

The previous prime is 10742539. The next prime is 10742597. The reversal of 10742564 is 46524701.

10742564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3317 + ... + 5699.

It is an arithmetic number, because the mean of its divisors is an integer number (634144).

Almost surely, 2^10742564 is an apocalyptic number.

10742564 is a gapful number since it is divisible by the number (14) 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 10742564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11414592).

10742564 is an abundant number, since it is smaller than the sum of its proper divisors (12086620).

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

10742564 is a wasteful number, since it uses less digits than its factorization.

10742564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 10742564 is about 3277.5850866148. The cubic root of 10742564 is about 220.6493487239.

The spelling of 10742564 in words is "ten million, seven hundred forty-two thousand, five hundred sixty-four".