654948 has 72 divisors (see below), whose sum is σ = 1991808. Its totient is φ = 177408.

The previous prime is 654943. The next prime is 654967. The reversal of 654948 is 849456.

It is a super-3 number, since 3×654948³ = 842833357239658176, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (654943) by changing a digit.

654948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5740 + ... + 5852.

It is an arithmetic number, because the mean of its divisors is an integer number (27664).

2⁶⁵⁴⁹⁴⁸ 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 654948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995904).

654948 is an abundant number, since it is smaller than the sum of its proper divisors (1336860).

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

654948 is a wasteful number, since it uses less digits than its factorization.

654948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 654948 is about 809.2885764670. The cubic root of 654948 is about 86.8431577660.

The spelling of 654948 in words is "six hundred fifty-four thousand, nine hundred forty-eight".