92106240 has 160 divisors (see below), whose sum is σ = 300516480. Its totient is φ = 24059904.

The previous prime is 92106181. The next prime is 92106251. The reversal of 92106240 is 4260129.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 92106240.

It is a congruent 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, 514471 + ... + 514649.

It is an arithmetic number, because the mean of its divisors is an integer number (1878228).

Almost surely, 2^92106240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240).

92106240 is an abundant number, since it is smaller than the sum of its proper divisors (208410240).

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

92106240 is a wasteful number, since it uses less digits than its factorization.

92106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 92106240 is about 9597.1995915475. The cubic root of 92106240 is about 451.6094467499.

Adding to 92106240 its reverse (4260129), we get a palindrome (96366369).

The spelling of 92106240 in words is "ninety-two million, one hundred six thousand, two hundred forty".