10078020 has 60 divisors (see below), whose sum is σ = 31620204. Its totient is φ = 2687040.

The previous prime is 10077983. The next prime is 10078027. The reversal of 10078020 is 2087001.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 8398404 = 1296^2 + 2898^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10077984 and 10078002.

It is not an unprimeable number, because it can be changed into a prime (10078027) 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 19 ways as a sum of consecutive naturals, for example, 1491 + ... + 4730.

Almost surely, 2^10078020 is an apocalyptic number.

10078020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10078020 is an abundant number, since it is smaller than the sum of its proper divisors (21542184).

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

10078020 is a wasteful number, since it uses less digits than its factorization.

10078020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10078020 is about 3174.5897372731. The cubic root of 10078020 is about 216.0023147900.

The spelling of 10078020 in words is "ten million, seventy-eight thousand, twenty".