10487640 has 128 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 2555904.

The previous prime is 10487629. The next prime is 10487681. The reversal of 10487640 is 4678401.

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

It is a junction number, because it is equal to n+sod(n) for n = 10487598 and 10487607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108072 + ... + 108168.

Almost surely, 2^10487640 is an apocalyptic number.

10487640 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 10487640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

10487640 is an abundant number, since it is smaller than the sum of its proper divisors (23804520).

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

10487640 is a wasteful number, since it uses less digits than its factorization.

10487640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 10487640 is about 3238.4625982092. The cubic root of 10487640 is about 218.8900012636.

The spelling of 10487640 in words is "ten million, four hundred eighty-seven thousand, six hundred forty".