891377424 has 120 divisors (see below), whose sum is σ = 2909337600. Its totient is φ = 254665152.

The previous prime is 891377387. The next prime is 891377429. The reversal of 891377424 is 424773198.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 891377424.

It is not an unprimeable number, because it can be changed into a prime (891377429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40369 + ... + 58415.

It is an arithmetic number, because the mean of its divisors is an integer number (24244480).

Almost surely, 2^891377424 is an apocalyptic number.

891377424 is a gapful number since it is divisible by the number (84) 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 891377424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454668800).

891377424 is an abundant number, since it is smaller than the sum of its proper divisors (2017960176).

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

891377424 is a wasteful number, since it uses less digits than its factorization.

891377424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18082 (or 18059 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 891377424 is about 29855.9445337105. The cubic root of 891377424 is about 962.3961496769.

The spelling of 891377424 in words is "eight hundred ninety-one million, three hundred seventy-seven thousand, four hundred twenty-four".