16331920 has 80 divisors (see below), whose sum is σ = 42193728. Its totient is φ = 5829120.

The previous prime is 16331879. The next prime is 16331921. The reversal of 16331920 is 2913361.

16331920 = T₄₈₉ + T₄₉₀ + ... + T₅₉₈.

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

It is a super-2 number, since 2×16331920² = 533463221772800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16331921) 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, 58822 + ... + 59098.

Almost surely, 2^16331920 is an apocalyptic number.

16331920 is a gapful number since it is divisible by the number (10) 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 16331920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21096864).

16331920 is an abundant number, since it is smaller than the sum of its proper divisors (25861808).

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

16331920 is a wasteful number, since it uses less digits than its factorization.

16331920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 16331920 is about 4041.2770258917. The cubic root of 16331920 is about 253.7147685804.

It can be divided in two parts, 1633 and 1920, that added together give a palindrome (3553).

The spelling of 16331920 in words is "sixteen million, three hundred thirty-one thousand, nine hundred twenty".