10429080 has 64 divisors (see below), whose sum is σ = 31505760. Its totient is φ = 2761728.

The previous prime is 10429057. The next prime is 10429087. The reversal of 10429080 is 8092401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10429080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10429087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27774 + ... + 28146.

Almost surely, 2^10429080 is an apocalyptic number.

10429080 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 10429080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15752880).

10429080 is an abundant number, since it is smaller than the sum of its proper divisors (21076680).

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

10429080 is a wasteful number, since it uses less digits than its factorization.

10429080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10429080 is about 3229.4086145918. The cubic root of 10429080 is about 218.4818341105.

The spelling of 10429080 in words is "ten million, four hundred twenty-nine thousand, eighty".