1954368 has 140 divisors (see below), whose sum is σ = 6454140. Its totient is φ = 580608.

The previous prime is 1954367. The next prime is 1954369. The reversal of 1954368 is 8634591.

It is an interprime number because it is at equal distance from previous prime (1954367) and next prime (1954369).

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 1327104 = 792^2 + 1152^2 .

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 + 9³ + 5⁹ + 4⁴ + 3⁵ + 6 + 8 .

It is not an unprimeable number, because it can be changed into a prime (1954361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67378 + ... + 67406.

It is an arithmetic number, because the mean of its divisors is an integer number (46101).

2^1954368 is an apocalyptic number.

1954368 is a gapful number since it is divisible by the number (18) 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 1954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227070).

1954368 is an abundant number, since it is smaller than the sum of its proper divisors (4499772).

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

1954368 is a wasteful number, since it uses less digits than its factorization.

1954368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1954368 is about 1397.9871244042. The cubic root of 1954368 is about 125.0265117100.

Adding to 1954368 its sum of digits (36), we get a square (1954404 = 1398²).

The spelling of 1954368 in words is "one million, nine hundred fifty-four thousand, three hundred sixty-eight".