1997878176 has 288 divisors, whose sum is σ = 6949877760. Its totient is φ = 556416000.

The previous prime is 1997878171. The next prime is 1997878189. The reversal of 1997878176 is 6718787991.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1997878176² = 7983034412274173952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1997878171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1735201 + ... + 1736351.

It is an arithmetic number, because the mean of its divisors is an integer number (24131520).

Almost surely, 2^1997878176 is an apocalyptic number.

1997878176 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 1997878176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474938880).

1997878176 is an abundant number, since it is smaller than the sum of its proper divisors (4951999584).

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

1997878176 is a wasteful number, since it uses less digits than its factorization.

1997878176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1204 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 63.

The square root of 1997878176 is about 44697.6305412267. The cubic root of 1997878176 is about 1259.4753371167.

The spelling of 1997878176 in words is "one billion, nine hundred ninety-seven million, eight hundred seventy-eight thousand, one hundred seventy-six".