210990144 has 112 divisors (see below), whose sum is σ = 578193408. Its totient is φ = 67865088.

The previous prime is 210990113. The next prime is 210990149. The reversal of 210990144 is 441099012.

It is not an unprimeable number, because it can be changed into a prime (210990149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929359 + ... + 929585.

Almost surely, 2^210990144 is an apocalyptic number.

210990144 is a gapful number since it is divisible by the number (24) 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 210990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289096704).

210990144 is an abundant number, since it is smaller than the sum of its proper divisors (367203264).

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

210990144 is a wasteful number, since it uses less digits than its factorization.

210990144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 210990144 is about 14525.4997848611. The cubic root of 210990144 is about 595.3249116377.

The spelling of 210990144 in words is "two hundred ten million, nine hundred ninety thousand, one hundred forty-four".