961840 has 40 divisors (see below), whose sum is σ = 2441808. Its totient is φ = 349440.

The previous prime is 961817. The next prime is 961841. The reversal of 961840 is 48169.

961840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 961799 and 961808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334 + ... + 1426.

2⁹⁶¹⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220904).

961840 is an abundant number, since it is smaller than the sum of its proper divisors (1479968).

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

961840 is a wasteful number, since it uses less digits than its factorization.

961840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 961840 is about 980.7344186884. The cubic root of 961840 is about 98.7114681695.

It can be divided in two parts, 96 and 1840, that added together give a square (1936 = 44²).

The spelling of 961840 in words is "nine hundred sixty-one thousand, eight hundred forty".