10629480 has 64 divisors (see below), whose sum is σ = 32103360. Its totient is φ = 2815488.

The previous prime is 10629461. The next prime is 10629491. The reversal of 10629480 is 8492601.

It is a super-2 number, since 2×10629480² = 225971690140800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 33804 + ... + 34116.

It is an arithmetic number, because the mean of its divisors is an integer number (501615).

Almost surely, 2^10629480 is an apocalyptic number.

10629480 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 10629480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16051680).

10629480 is an abundant number, since it is smaller than the sum of its proper divisors (21473880).

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

10629480 is a wasteful number, since it uses less digits than its factorization.

10629480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10629480 is about 3260.2883308076. The cubic root of 10629480 is about 219.8723777712.

The spelling of 10629480 in words is "ten million, six hundred twenty-nine thousand, four hundred eighty".