1010941632 has 168 divisors, whose sum is σ = 3051206496. Its totient is φ = 319401984.

The previous prime is 1010941619. The next prime is 1010941643. The reversal of 1010941632 is 2361490101.

1010941632 is a `hidden beast` number, since 10 + 10 + 9 + 4 + 1 + 632 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1010941596 and 1010941605.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1814698 + ... + 1815254.

Almost surely, 2^1010941632 is an apocalyptic number.

1010941632 is a gapful number since it is divisible by the number (12) 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 1010941632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525603248).

1010941632 is an abundant number, since it is smaller than the sum of its proper divisors (2040264864).

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

1010941632 is a wasteful number, since it uses less digits than its factorization.

1010941632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1010941632 is about 31795.3083331488. The cubic root of 1010941632 is about 1003.6339887954.

The spelling of 1010941632 in words is "one billion, ten million, nine hundred forty-one thousand, six hundred thirty-two".