10355980 has 48 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 3869888.

The previous prime is 10355977. The next prime is 10356001. The reversal of 10355980 is 8955301.

It is a super-3 number, since 3×10355980³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21381 + ... + 21859.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 2^10355980 is an apocalyptic number.

10355980 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 10355980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

10355980 is an abundant number, since it is smaller than the sum of its proper divisors (12868340).

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

10355980 is a wasteful number, since it uses less digits than its factorization.

10355980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 10355980 is about 3218.0708506806. The cubic root of 10355980 is about 217.9701723913.

The spelling of 10355980 in words is "ten million, three hundred fifty-five thousand, nine hundred eighty".