1006010632 has 64 divisors (see below), whose sum is σ = 2293531200. Its totient is φ = 407715840.

The previous prime is 1006010623. The next prime is 1006010771. The reversal of 1006010632 is 2360106001.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10728 + ... + 46120.

It is an arithmetic number, because the mean of its divisors is an integer number (35836425).

Almost surely, 2^1006010632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006010632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146765600).

1006010632 is an abundant number, since it is smaller than the sum of its proper divisors (1287520568).

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

1006010632 is a wasteful number, since it uses less digits than its factorization.

1006010632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35446 (or 35442 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1006010632 is about 31717.6706584831. The cubic root of 1006010632 is about 1001.9995431623. Note that the first 3 decimals are identical.

Adding to 1006010632 its reverse (2360106001), we get a palindrome (3366116633).

The spelling of 1006010632 in words is "one billion, six million, ten thousand, six hundred thirty-two".