9961654590 has 160 divisors (see below), whose sum is σ = 28490505120. Its totient is φ = 2490310656.

The previous prime is 9961654531. The next prime is 9961654597. The reversal of 9961654590 is 954561699.

9961654590 is a `hidden beast` number, since 9 + 9 + 6 + 1 + 6 + 545 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9961654597) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1489494 + ... + 1496166.

It is an arithmetic number, because the mean of its divisors is an integer number (178065657).

Almost surely, 2^9961654590 is an apocalyptic number.

9961654590 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9961654590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14245252560).

9961654590 is an abundant number, since it is smaller than the sum of its proper divisors (18528850530).

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

9961654590 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (9961654589) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (6799).

9961654590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6799 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 9961654590 is about 99808.0888004575. The cubic root of 9961654590 is about 2151.6774066674.

The spelling of 9961654590 in words is "nine billion, nine hundred sixty-one million, six hundred fifty-four thousand, five hundred ninety".