889362720 has 384 divisors, whose sum is σ = 3338496000. Its totient is φ = 220631040.

The previous prime is 889362709. The next prime is 889362731. The reversal of 889362720 is 27263988.

It is an interprime number because it is at equal distance from previous prime (889362709) and next prime (889362731).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3883566 + ... + 3883794.

It is an arithmetic number, because the mean of its divisors is an integer number (8694000).

Almost surely, 2^889362720 is an apocalyptic number.

889362720 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 889362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669248000).

889362720 is an abundant number, since it is smaller than the sum of its proper divisors (2449133280).

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

889362720 is a wasteful number, since it uses less digits than its factorization.

889362720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 889362720 is about 29822.1850306110. The cubic root of 889362720 is about 961.6705288694.

It can be divided in two parts, 889 and 362720, that added together give a square (363609 = 603²).

The spelling of 889362720 in words is "eight hundred eighty-nine million, three hundred sixty-two thousand, seven hundred twenty".