890688960 has 280 divisors, whose sum is σ = 3621694560. Its totient is φ = 203544576.

The previous prime is 890688959. The next prime is 890689061. The reversal of 890688960 is 69886098.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-3 number, since 3×890688960³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 890688897 and 890688906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178986 + ... + 183894.

Almost surely, 2^890688960 is an apocalyptic number.

890688960 is a gapful number since it is divisible by the number (80) 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 890688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810847280).

890688960 is an abundant number, since it is smaller than the sum of its proper divisors (2731005600).

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

890688960 is a wasteful number, since it uses less digits than its factorization.

890688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 890688960 is about 29844.4125423839. The cubic root of 890688960 is about 962.1483138592.

The spelling of 890688960 in words is "eight hundred ninety million, six hundred eighty-eight thousand, nine hundred sixty".