1961624 has 32 divisors (see below), whose sum is σ = 4389120. Its totient is φ = 803616.

The previous prime is 1961623. The next prime is 1961633. The reversal of 1961624 is 4261691.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961623) 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 7 ways as a sum of consecutive naturals, for example, 527 + ... + 2049.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

2^1961624 is an apocalyptic number.

1961624 is a gapful number since it is divisible by the number (14) 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 1961624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560).

1961624 is an abundant number, since it is smaller than the sum of its proper divisors (2427496).

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

1961624 is a wasteful number, since it uses less digits than its factorization.

1961624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1555 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 1961624 is about 1400.5798799069. The cubic root of 1961624 is about 125.1810496416.

The spelling of 1961624 in words is "one million, nine hundred sixty-one thousand, six hundred twenty-four".