1002032010 has 192 divisors, whose sum is σ = 3115487232. Its totient is φ = 218671488.

The previous prime is 1002031999. The next prime is 1002032011. The reversal of 1002032010 is 102302001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002031983 and 1002032001.

It is not an unprimeable number, because it can be changed into a prime (1002032011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1272837 + ... + 1273623.

It is an arithmetic number, because the mean of its divisors is an integer number (16226496).

Almost surely, 2^1002032010 is an apocalyptic number.

1002032010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002032010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557743616).

1002032010 is an abundant number, since it is smaller than the sum of its proper divisors (2113455222).

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

1002032010 is a wasteful number, since it uses less digits than its factorization.

1002032010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1002032010 is about 31654.8891958257. The cubic root of 1002032010 is about 1000.6768783989.

Adding to 1002032010 its reverse (102302001), we get a palindrome (1104334011).

The spelling of 1002032010 in words is "one billion, two million, thirty-two thousand, ten".