9961906000 has 80 divisors (see below), whose sum is σ = 24918650640. Its totient is φ = 3847334400.

The previous prime is 9961905991. The next prime is 9961906037. The reversal of 9961906000 is 6091699.

It can be written as a sum of positive squares in 8 ways, for example, as 593214736 + 9368691264 = 24356^2 + 96792^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27879 + ... + 143878.

It is an arithmetic number, because the mean of its divisors is an integer number (311483133).

Almost surely, 2^9961906000 is an apocalyptic number.

It is an amenable number.

9961906000 is an abundant number, since it is smaller than the sum of its proper divisors (14956744640).

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

9961906000 is a wasteful number, since it uses less digits than its factorization.

9961906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171809 (or 171793 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The square root of 9961906000 is about 99809.3482595694. The cubic root of 9961906000 is about 2151.6955076987.

Adding to 9961906000 its reverse (6091699), we get a palindrome (9967997699).

The spelling of 9961906000 in words is "nine billion, nine hundred sixty-one million, nine hundred six thousand".