10742610 has 32 divisors (see below), whose sum is σ = 26904960. Its totient is φ = 2739968.

The previous prime is 10742597. The next prime is 10742621. The reversal of 10742610 is 1624701.

It is a super-2 number, since 2×10742610² = 230807339224200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7095 + ... + 8474.

It is an arithmetic number, because the mean of its divisors is an integer number (840780).

Almost surely, 2^10742610 is an apocalyptic number.

10742610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10742610 is an abundant number, since it is smaller than the sum of its proper divisors (16162350).

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

10742610 is a wasteful number, since it uses less digits than its factorization.

10742610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15602.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10742610 is about 3277.5921039690. The cubic root of 10742610 is about 220.6496636660.

The spelling of 10742610 in words is "ten million, seven hundred forty-two thousand, six hundred ten".