10487120 has 80 divisors (see below), whose sum is σ = 28414848. Its totient is φ = 3525120.

The previous prime is 10487119. The next prime is 10487123. The reversal of 10487120 is 2178401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10487123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34007 + ... + 34313.

Almost surely, 2^10487120 is an apocalyptic number.

10487120 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 10487120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207424).

10487120 is an abundant number, since it is smaller than the sum of its proper divisors (17927728).

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

10487120 is a wasteful number, since it uses less digits than its factorization.

10487120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 10487120 is about 3238.3823122047. The cubic root of 10487120 is about 218.8863835231.

The spelling of 10487120 in words is "ten million, four hundred eighty-seven thousand, one hundred twenty".