92221416 has 144 divisors (see below), whose sum is σ = 297591840. Its totient is φ = 26244000.

The previous prime is 92221387. The next prime is 92221417. The reversal of 92221416 is 61412229.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1728) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 92221416.

It is not an unprimeable number, because it can be changed into a prime (92221417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 367291 + ... + 367541.

It is an arithmetic number, because the mean of its divisors is an integer number (2066610).

Almost surely, 2^92221416 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 92221416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148795920).

92221416 is an abundant number, since it is smaller than the sum of its proper divisors (205370424).

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

92221416 is an equidigital number, since it uses as much as digits as its factorization.

92221416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 263 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 92221416 is about 9603.1982172607. The cubic root of 92221416 is about 451.7976095491.

The spelling of 92221416 in words is "ninety-two million, two hundred twenty-one thousand, four hundred sixteen".