16219944 has 144 divisors (see below), whose sum is σ = 50244480. Its totient is φ = 4717440.

The previous prime is 16219933. The next prime is 16219981. The reversal of 16219944 is 44991261.

16219944 = 39³ + 40³ + ... + 90³.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16219899 and 16219908.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377187 + ... + 377229.

It is an arithmetic number, because the mean of its divisors is an integer number (348920).

Almost surely, 2^16219944 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 16219944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25122240).

16219944 is an abundant number, since it is smaller than the sum of its proper divisors (34024536).

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

16219944 is a wasteful number, since it uses less digits than its factorization.

16219944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16219944 is about 4027.3991607488. The cubic root of 16219944 is about 253.1335929410.

The spelling of 16219944 in words is "sixteen million, two hundred nineteen thousand, nine hundred forty-four".