2967888 has 120 divisors (see below), whose sum is σ = 9763264. Its totient is φ = 760320.

The previous prime is 2967827. The next prime is 2967893. The reversal of 2967888 is 8887692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 2²¹ + 9 + 6⁶ + 7⁷ + 8 + 8 + 8³ .

Its product of digits (387072) is a multiple of the sum of its prime divisors (96).

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, 40620 + ... + 40692.

2^2967888 is an apocalyptic number.

2967888 is a gapful number since it is divisible by the number (28) 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 2967888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881632).

2967888 is an abundant number, since it is smaller than the sum of its proper divisors (6795376).

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

2967888 is a wasteful number, since it uses less digits than its factorization.

2967888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 2967888 is about 1722.7559316398. The cubic root of 2967888 is about 143.7085153133.

The spelling of 2967888 in words is "two million, nine hundred sixty-seven thousand, eight hundred eighty-eight".