1608948 has 72 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 456960.

The previous prime is 1608941. The next prime is 1608979. The reversal of 1608948 is 8498061.

It is a happy number.

1608948 is a `hidden beast` number, since 1 + 608 + 9 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6613 + ... + 6851.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2^1608948 is an apocalyptic number.

1608948 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 1608948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1608948 is an abundant number, since it is smaller than the sum of its proper divisors (3108492).

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

1608948 is a wasteful number, since it uses less digits than its factorization.

1608948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1608948 is about 1268.4431402314. The cubic root of 1608948 is about 117.1783385905.

It can be divided in two parts, 1608 and 948, that added together give a triangular number (2556 = T₇₁).

The spelling of 1608948 in words is "one million, six hundred eight thousand, nine hundred forty-eight".