10633680 has 120 divisors (see below), whose sum is σ = 37101792. Its totient is φ = 2830464.

The previous prime is 10633669. The next prime is 10633697. The reversal of 10633680 is 8633601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10633680² = 226150300684800, which contains 22 as substring.

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

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19167 + ... + 19713.

Almost surely, 2^10633680 is an apocalyptic number.

10633680 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 10633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550896).

10633680 is an abundant number, since it is smaller than the sum of its proper divisors (26468112).

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

10633680 is an equidigital number, since it uses as much as digits as its factorization.

10633680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10633680 is about 3260.9323820037. The cubic root of 10633680 is about 219.9013331664.

The spelling of 10633680 in words is "ten million, six hundred thirty-three thousand, six hundred eighty".