1011601962 has 144 divisors (see below), whose sum is σ = 2719671552. Its totient is φ = 270325440.

The previous prime is 1011601931. The next prime is 1011601963. The reversal of 1011601962 is 2691061101.

1011601962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1011601963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952912 + ... + 953972.

It is an arithmetic number, because the mean of its divisors is an integer number (18886608).

Almost surely, 2^1011601962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011601962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359835776).

1011601962 is an abundant number, since it is smaller than the sum of its proper divisors (1708069590).

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

1011601962 is a wasteful number, since it uses less digits than its factorization.

1011601962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1011601962 is about 31805.6907172286. The cubic root of 1011601962 is about 1003.8524601587.

The spelling of 1011601962 in words is "one billion, eleven million, six hundred one thousand, nine hundred sixty-two".