10537680 has 120 divisors (see below), whose sum is σ = 34560288. Its totient is φ = 2655488.

The previous prime is 10537679. The next prime is 10537687. The reversal of 10537680 is 8673501.

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

It is a super-2 number, since 2×10537680² = 222085399564800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10537687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126919 + ... + 127001.

Almost surely, 2^10537680 is an apocalyptic number.

10537680 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 10537680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280144).

10537680 is an abundant number, since it is smaller than the sum of its proper divisors (24022608).

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

10537680 is a wasteful number, since it uses less digits than its factorization.

10537680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10537680 is about 3246.1792926454. The cubic root of 10537680 is about 219.2375812453.

The spelling of 10537680 in words is "ten million, five hundred thirty-seven thousand, six hundred eighty".