10033980 has 96 divisors (see below), whose sum is σ = 32030208. Its totient is φ = 2323200.

The previous prime is 10033973. The next prime is 10033981. The reversal of 10033980 is 8933001.

10033980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10033980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14850 + ... + 15510.

It is an arithmetic number, because the mean of its divisors is an integer number (333648).

Almost surely, 2^10033980 is an apocalyptic number.

10033980 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 10033980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015104).

10033980 is an abundant number, since it is smaller than the sum of its proper divisors (21996228).

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

10033980 is a wasteful number, since it uses less digits than its factorization.

10033980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10033980 is about 3167.6458135341. The cubic root of 10033980 is about 215.6872187600.

Adding to 10033980 its reverse (8933001), we get a palindrome (18966981).

The spelling of 10033980 in words is "ten million, thirty-three thousand, nine hundred eighty".