893429680 has 160 divisors (see below), whose sum is σ = 2525463360. Its totient is φ = 289443840.

The previous prime is 893429659. The next prime is 893429681. The reversal of 893429680 is 86924398.

It is not an unprimeable number, because it can be changed into a prime (893429681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330414 + ... + 333106.

It is an arithmetic number, because the mean of its divisors is an integer number (15784146).

Almost surely, 2^893429680 is an apocalyptic number.

893429680 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 893429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262731680).

893429680 is an abundant number, since it is smaller than the sum of its proper divisors (1632033680).

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

893429680 is a wasteful number, since it uses less digits than its factorization.

893429680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The square root of 893429680 is about 29890.2940768404. The cubic root of 893429680 is about 963.1341720464.

The spelling of 893429680 in words is "eight hundred ninety-three million, four hundred twenty-nine thousand, six hundred eighty".