1950624 has 72 divisors (see below), whose sum is σ = 5985252. Its totient is φ = 599040.

The previous prime is 1950623. The next prime is 1950629. The reversal of 1950624 is 4260591.

1950624 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 176400 = 1332^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3484 + ... + 4004.

2^1950624 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 1950624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992626).

1950624 is an abundant number, since it is smaller than the sum of its proper divisors (4034628).

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

1950624 is a wasteful number, since it uses less digits than its factorization.

1950624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1950624 is about 1396.6474143462. The cubic root of 1950624 is about 124.9466225434.

It can be divided in two parts, 1 and 950624, that added together give a square (950625 = 975²).

The spelling of 1950624 in words is "one million, nine hundred fifty thousand, six hundred twenty-four".