213490944 has 144 divisors (see below), whose sum is σ = 642143040. Its totient is φ = 69949440.

The previous prime is 213490939. The next prime is 213490957. The reversal of 213490944 is 449094312.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×213490944² = 91156766340022272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 213490899 and 213490908.

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, 462874 + ... + 463334.

Almost surely, 2^213490944 is an apocalyptic number.

213490944 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 213490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321071520).

213490944 is an abundant number, since it is smaller than the sum of its proper divisors (428652096).

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

213490944 is an equidigital number, since it uses as much as digits as its factorization.

213490944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 213490944 is about 14611.3293029758. The cubic root of 213490944 is about 597.6677460657.

The spelling of 213490944 in words is "two hundred thirteen million, four hundred ninety thousand, nine hundred forty-four".