219661040 has 80 divisors (see below), whose sum is σ = 550250496. Its totient is φ = 81312000.

The previous prime is 219661037. The next prime is 219661073. The reversal of 219661040 is 40166912.

219661040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 219660994 and 219661012.

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, 55115 + ... + 58965.

Almost surely, 2^219661040 is an apocalyptic number.

219661040 is a gapful number since it is divisible by the number (20) 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 219661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275125248).

219661040 is an abundant number, since it is smaller than the sum of its proper divisors (330589456).

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

219661040 is a wasteful number, since it uses less digits than its factorization.

219661040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 219661040 is about 14820.9662303104. The cubic root of 219661040 is about 603.3708783516.

It can be divided in two parts, 2196 and 61040, that added together give a palindrome (63236).

The spelling of 219661040 in words is "two hundred nineteen million, six hundred sixty-one thousand, forty".