891554560 has 144 divisors (see below), whose sum is σ = 2323046880. Its totient is φ = 325877760.

The previous prime is 891554551. The next prime is 891554567. The reversal of 891554560 is 65455198.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891554567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2179636 + ... + 2180044.

It is an arithmetic number, because the mean of its divisors is an integer number (16132270).

Almost surely, 2^891554560 is an apocalyptic number.

891554560 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 891554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161523440).

891554560 is an abundant number, since it is smaller than the sum of its proper divisors (1431492320).

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

891554560 is a wasteful number, since it uses less digits than its factorization.

891554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 43.

The square root of 891554560 is about 29858.9108977538. The cubic root of 891554560 is about 962.4598951075.

The spelling of 891554560 in words is "eight hundred ninety-one million, five hundred fifty-four thousand, five hundred sixty".