1681077888 has 288 divisors, whose sum is σ = 5840976960. Its totient is φ = 479872512.

The previous prime is 1681077883. The next prime is 1681077913. The reversal of 1681077888 is 8887701861.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1681077883) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1523545 + ... + 1524647.

It is an arithmetic number, because the mean of its divisors is an integer number (20281170).

Almost surely, 2^1681077888 is an apocalyptic number.

1681077888 is a gapful number since it is divisible by the number (18) 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 1681077888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920488480).

1681077888 is an abundant number, since it is smaller than the sum of its proper divisors (4159899072).

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

1681077888 is an equidigital number, since it uses as much as digits as its factorization.

1681077888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 54.

The square root of 1681077888 is about 41000.9498426561. The cubic root of 1681077888 is about 1189.0385775532.

The spelling of 1681077888 in words is "one billion, six hundred eighty-one million, seventy-seven thousand, eight hundred eighty-eight".