10077540 has 48 divisors (see below), whose sum is σ = 30784320. Its totient is φ = 2442880.

The previous prime is 10077539. The next prime is 10077541. The reversal of 10077540 is 4577001.

It is an interprime number because it is at equal distance from previous prime (10077539) and next prime (10077541).

It is a self number, because there is not a number n which added to its sum of digits gives 10077540.

It is not an unprimeable number, because it can be changed into a prime (10077541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6975 + ... + 8294.

It is an arithmetic number, because the mean of its divisors is an integer number (641340).

Almost surely, 2^10077540 is an apocalyptic number.

10077540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10077540 is an abundant number, since it is smaller than the sum of its proper divisors (20706780).

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

10077540 is a wasteful number, since it uses less digits than its factorization.

10077540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15292 (or 15290 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 10077540 is about 3174.5141360529. The cubic root of 10077540 is about 215.9988854538.

The spelling of 10077540 in words is "ten million, seventy-seven thousand, five hundred forty".