1055319680 has 64 divisors (see below), whose sum is σ = 2560632480. Its totient is φ = 415810560.

The previous prime is 1055319673. The next prime is 1055319689. The reversal of 1055319680 is 869135501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1055319680² = 2227399253990604800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055319689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30575 + ... + 55185.

Almost surely, 2^1055319680 is an apocalyptic number.

1055319680 is a gapful number since it is divisible by the number (10) 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 1055319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280316240).

1055319680 is an abundant number, since it is smaller than the sum of its proper divisors (1505312800).

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

1055319680 is an equidigital number, since it uses as much as digits as its factorization.

1055319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24697 (or 24685 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 1055319680 is about 32485.6842316735. The cubic root of 1055319680 is about 1018.1099434422.

The spelling of 1055319680 in words is "one billion, fifty-five million, three hundred nineteen thousand, six hundred eighty".