90213144 has 64 divisors (see below), whose sum is σ = 262007040. Its totient is φ = 25349760.

The previous prime is 90213139. The next prime is 90213157. The reversal of 90213144 is 44131209.

It is a super-2 number, since 2×90213144² = 16276822700729472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5847 + ... + 14649.

It is an arithmetic number, because the mean of its divisors is an integer number (4093860).

Almost surely, 2^90213144 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 90213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131003520).

90213144 is an abundant number, since it is smaller than the sum of its proper divisors (171793896).

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

90213144 is a wasteful number, since it uses less digits than its factorization.

90213144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8880 (or 8876 counting only the distinct ones).

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

The square root of 90213144 is about 9498.0600124446. The cubic root of 90213144 is about 448.4939677964.

The spelling of 90213144 in words is "ninety million, two hundred thirteen thousand, one hundred forty-four".