920220588 has 162 divisors, whose sum is σ = 2826437796. Its totient is φ = 261028656.

The previous prime is 920220569. The next prime is 920220607. The reversal of 920220588 is 885022029.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (920220569) and next prime (920220607).

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6620223 + ... + 6620361.

Almost surely, 2^920220588 is an apocalyptic number.

920220588 is a gapful number since it is divisible by the number (98) 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 920220588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413218898).

920220588 is an abundant number, since it is smaller than the sum of its proper divisors (1906217208).

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

920220588 is a wasteful number, since it uses less digits than its factorization.

920220588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 920220588 is about 30335.1378437613. The cubic root of 920220588 is about 972.6665524071. Note that the first 3 decimals are identical.

The spelling of 920220588 in words is "nine hundred twenty million, two hundred twenty thousand, five hundred eighty-eight".