16077312 has 80 divisors (see below), whose sum is σ = 47630880. Its totient is φ = 5354496.

The previous prime is 16077307. The next prime is 16077317. The reversal of 16077312 is 21377061.

It is an interprime number because it is at equal distance from previous prime (16077307) and next prime (16077317).

It is a super-2 number, since 2×16077312² = 516959922290688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16077317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13243 + ... + 14405.

It is an arithmetic number, because the mean of its divisors is an integer number (595386).

Almost surely, 2^16077312 is an apocalyptic number.

16077312 is a gapful number since it is divisible by the number (12) 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 16077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23815440).

16077312 is an abundant number, since it is smaller than the sum of its proper divisors (31553568).

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

16077312 is an equidigital number, since it uses as much as digits as its factorization.

16077312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 16077312 is about 4009.6523540078. The cubic root of 16077312 is about 252.3894205864.

Subtracting from 16077312 its sum of digits (27), we obtain a triangular number (16077285 = T₅₆₇₀).

The spelling of 16077312 in words is "sixteen million, seventy-seven thousand, three hundred twelve".