890917951968 has 192 divisors, whose sum is σ = 2857063587840. Its totient is φ = 267848985600.

The previous prime is 890917951961. The next prime is 890917951993. The reversal of 890917951968 is 869159719098.

890917951968 is a `hidden beast` number, since 8 + 90 + 9 + 17 + 9 + 519 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 890917951896 and 890917951905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890917951961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837948 + ... + 1576068.

It is an arithmetic number, because the mean of its divisors is an integer number (14880539520).

Almost surely, 2^890917951968 is an apocalyptic number.

890917951968 is a gapful number since it is divisible by the number (88) 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 890917951968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428531793920).

890917951968 is an abundant number, since it is smaller than the sum of its proper divisors (1966145635872).

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

890917951968 is a wasteful number, since it uses less digits than its factorization.

890917951968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738278 (or 738264 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 72.

The spelling of 890917951968 in words is "eight hundred ninety billion, nine hundred seventeen million, nine hundred fifty-one thousand, nine hundred sixty-eight".