918820420 has 96 divisors (see below), whose sum is σ = 2351462400. Its totient is φ = 294389760.

The previous prime is 918820391. The next prime is 918820421. The reversal of 918820420 is 24028819.

918820420 = T₉₃₄₄ + T₉₃₄₅ + ... + T₉₃₆₄.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (918820421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353325 + ... + 355915.

It is an arithmetic number, because the mean of its divisors is an integer number (24494400).

Almost surely, 2^918820420 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 918820420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175731200).

918820420 is an abundant number, since it is smaller than the sum of its proper divisors (1432641980).

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

918820420 is a wasteful number, since it uses less digits than its factorization.

918820420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 918820420 is about 30312.0507389388. The cubic root of 918820420 is about 972.1729794826.

The spelling of 918820420 in words is "nine hundred eighteen million, eight hundred twenty thousand, four hundred twenty".