10737280 has 64 divisors (see below), whose sum is σ = 27050400. Its totient is φ = 4064256.

The previous prime is 10737277. The next prime is 10737283. The reversal of 10737280 is 8273701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10737277) and next prime (10737283).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10737283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11719 + ... + 12601.

Almost surely, 2^10737280 is an apocalyptic number.

10737280 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 10737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525200).

10737280 is an abundant number, since it is smaller than the sum of its proper divisors (16313120).

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

10737280 is an equidigital number, since it uses as much as digits as its factorization.

10737280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 10737280 is about 3276.7789061821. The cubic root of 10737280 is about 220.6131654821.

The spelling of 10737280 in words is "ten million, seven hundred thirty-seven thousand, two hundred eighty".