651948 has 36 divisors (see below), whose sum is σ = 1675800. Its totient is φ = 197120.

The previous prime is 651943. The next prime is 651971. The reversal of 651948 is 849156.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 651948.

It is not an unprimeable number, because it can be changed into a prime (651943) by changing a digit.

651948 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1228 + ... + 1676.

It is an arithmetic number, because the mean of its divisors is an integer number (46550).

2⁶⁵¹⁹⁴⁸ 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 651948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837900).

651948 is an abundant number, since it is smaller than the sum of its proper divisors (1023852).

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

651948 is a wasteful number, since it uses less digits than its factorization.

651948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 651948 is about 807.4329693541. The cubic root of 651948 is about 86.7103592969.

The spelling of 651948 in words is "six hundred fifty-one thousand, nine hundred forty-eight".