1961740 has 48 divisors (see below), whose sum is σ = 4634784. Its totient is φ = 691200.

The previous prime is 1961737. The next prime is 1961741. The reversal of 1961740 is 471691.

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 = 1961699 and 1961708.

It is not an unprimeable number, because it can be changed into a prime (1961741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8020 + ... + 8260.

It is an arithmetic number, because the mean of its divisors is an integer number (96558).

2^1961740 is an apocalyptic number.

1961740 is a gapful number since it is divisible by the number (10) 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 1961740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317392).

1961740 is an abundant number, since it is smaller than the sum of its proper divisors (2673044).

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

1961740 is a wasteful number, since it uses less digits than its factorization.

1961740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1961740 is about 1400.6212907135. The cubic root of 1961740 is about 125.1835171066.

It can be divided in two parts, 1961 and 740, that added together give a triangular number (2701 = T₇₃).

The spelling of 1961740 in words is "one million, nine hundred sixty-one thousand, seven hundred forty".