7914816 has 168 divisors, whose sum is σ = 28106624. Its totient is φ = 2073600.

The previous prime is 7914793. The next prime is 7914853. The reversal of 7914816 is 6184197.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 an Ulam number.

Its product of digits (12096) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52341 + ... + 52491.

Almost surely, 2^7914816 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 7914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14053312).

7914816 is an abundant number, since it is smaller than the sum of its proper divisors (20191808).

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

7914816 is a wasteful number, since it uses less digits than its factorization.

7914816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 7914816 is about 2813.3282780365. The cubic root of 7914816 is about 199.2875987687.

The spelling of 7914816 in words is "seven million, nine hundred fourteen thousand, eight hundred sixteen".