1954656 has 72 divisors (see below), whose sum is σ = 6073704. Its totient is φ = 591360.

The previous prime is 1954649. The next prime is 1954661. The reversal of 1954656 is 6564591.

1954656 is a `hidden beast` number, since 195 + 465 + 6 = 666.

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

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

It is a d-powerful number, because it can be written as 1 + 9 + 5³ + 4³ + 6² + 5⁹ + 6⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 1954656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2860 + ... + 3476.

It is an arithmetic number, because the mean of its divisors is an integer number (84357).

2^1954656 is an apocalyptic number.

1954656 is a gapful number since it is divisible by the number (16) 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 1954656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036852).

1954656 is an abundant number, since it is smaller than the sum of its proper divisors (4119048).

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

1954656 is a wasteful number, since it uses less digits than its factorization.

1954656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 633 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 1954656 is about 1398.0901258503. The cubic root of 1954656 is about 125.0326528029.

It can be divided in two parts, 195 and 4656, that added together give a triangular number (4851 = T₉₈).

The spelling of 1954656 in words is "one million, nine hundred fifty-four thousand, six hundred fifty-six".