1009961856 has 96 divisors (see below), whose sum is σ = 2977294320. Its totient is φ = 328427520.

The previous prime is 1009961831. The next prime is 1009961861. The reversal of 1009961856 is 6581699001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36541 + ... + 57923.

Almost surely, 2^1009961856 is an apocalyptic number.

1009961856 is a gapful number since it is divisible by the number (16) 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 1009961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488647160).

1009961856 is an abundant number, since it is smaller than the sum of its proper divisors (1967332464).

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

1009961856 is a wasteful number, since it uses less digits than its factorization.

1009961856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21444 (or 21429 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1009961856 is about 31779.8970419981. The cubic root of 1009961856 is about 1003.3096527807.

The spelling of 1009961856 in words is "one billion, nine million, nine hundred sixty-one thousand, eight hundred fifty-six".