1009961964 has 54 divisors (see below), whose sum is σ = 2786791644. Its totient is φ = 305857440.

The previous prime is 1009961957. The next prime is 1009961971. The reversal of 1009961964 is 4691699001.

It is an interprime number because it is at equal distance from previous prime (1009961957) and next prime (1009961971).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 631614 + ... + 633210.

Almost surely, 2^1009961964 is an apocalyptic number.

It is an amenable number.

1009961964 is an abundant number, since it is smaller than the sum of its proper divisors (1776829680).

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

1009961964 is a wasteful number, since it uses less digits than its factorization.

1009961964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1009961964 is about 31779.8987411854. The cubic root of 1009961964 is about 1003.3096885436.

The spelling of 1009961964 in words is "one billion, nine million, nine hundred sixty-one thousand, nine hundred sixty-four".