9961380 has 240 divisors, whose sum is σ = 37566144. Its totient is φ = 2177280.

The previous prime is 9961351. The next prime is 9961381. The reversal of 9961380 is 831699.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9961381) 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, 231639 + ... + 231681.

Almost surely, 2^9961380 is an apocalyptic number.

9961380 is a gapful number since it is divisible by the number (90) 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 9961380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18783072).

9961380 is an abundant number, since it is smaller than the sum of its proper divisors (27604764).

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

9961380 is a wasteful number, since it uses less digits than its factorization.

9961380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9961380 is about 3156.1653949057. The cubic root of 9961380 is about 215.1657636373.

Adding to 9961380 its sum of digits (36), we get a triangular number (9961416 = T₄₄₆₃).

The spelling of 9961380 in words is "nine million, nine hundred sixty-one thousand, three hundred eighty".