90420000 has 240 divisors, whose sum is σ = 325920672. Its totient is φ = 21760000.

The previous prime is 90419981. The next prime is 90420017. The reversal of 90420000 is 2409.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659932 + ... + 660068.

Almost surely, 2^90420000 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 90420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162960336).

90420000 is an abundant number, since it is smaller than the sum of its proper divisors (235500672).

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

90420000 is a wasteful number, since it uses less digits than its factorization.

90420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 90420000 is about 9508.9431589425. The cubic root of 90420000 is about 448.8365004741.

Adding to 90420000 its reverse (2409), we get a palindrome (90422409).

The spelling of 90420000 in words is "ninety million, four hundred twenty thousand".