10029960 has 128 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 2592000.

The previous prime is 10029959. The next prime is 10029973. The reversal of 10029960 is 6992001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39835 + ... + 40085.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^10029960 is an apocalyptic number.

10029960 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 10029960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

10029960 is an abundant number, since it is smaller than the sum of its proper divisors (24443640).

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

10029960 is a wasteful number, since it uses less digits than its factorization.

10029960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10029960 is about 3167.0112093265. The cubic root of 10029960 is about 215.6584107018.

The spelling of 10029960 in words is "ten million, twenty-nine thousand, nine hundred sixty".