1061185632 has 192 divisors, whose sum is σ = 3143448000. Its totient is φ = 311205888.

The previous prime is 1061185607. The next prime is 1061185637. The reversal of 1061185632 is 2365811601.

It is a super-2 number, since 2×1061185632² = 2252229891126478848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1061185593 and 1061185602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061185637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3944794 + ... + 3945062.

It is an arithmetic number, because the mean of its divisors is an integer number (16372125).

Almost surely, 2^1061185632 is an apocalyptic number.

1061185632 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 1061185632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571724000).

1061185632 is an abundant number, since it is smaller than the sum of its proper divisors (2082262368).

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

1061185632 is a wasteful number, since it uses less digits than its factorization.

1061185632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1061185632 is about 32575.8443021819. The cubic root of 1061185632 is about 1019.9928334752.

The spelling of 1061185632 in words is "one billion, sixty-one million, one hundred eighty-five thousand, six hundred thirty-two".