16392096 has 144 divisors (see below), whose sum is σ = 54722304. Its totient is φ = 4557312.

The previous prime is 16392091. The next prime is 16392137. The reversal of 16392096 is 69029361.

16392096 = 38² + 39² + ... + 366².

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

It is a super-2 number, since 2×16392096² = 537401622546432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16392096.

It is not an unprimeable number, because it can be changed into a prime (16392091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94666 + ... + 94838.

It is an arithmetic number, because the mean of its divisors is an integer number (380016).

Almost surely, 2^16392096 is an apocalyptic number.

16392096 is a gapful number since it is divisible by the number (16) 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 16392096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27361152).

16392096 is an abundant number, since it is smaller than the sum of its proper divisors (38330208).

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

16392096 is a wasteful number, since it uses less digits than its factorization.

16392096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 16392096 is about 4048.7153518122. The cubic root of 16392096 is about 254.0259960580.

The spelling of 16392096 in words is "sixteen million, three hundred ninety-two thousand, ninety-six".