820151948 has 96 divisors (see below), whose sum is σ = 1894233600. Its totient is φ = 301017600.

The previous prime is 820151947. The next prime is 820151951. The reversal of 820151948 is 849151028.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (820151947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1573928 + ... + 1574448.

It is an arithmetic number, because the mean of its divisors is an integer number (19731600).

Almost surely, 2^820151948 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 820151948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947116800).

820151948 is an abundant number, since it is smaller than the sum of its proper divisors (1074081652).

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

820151948 is a wasteful number, since it uses less digits than its factorization.

820151948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 820151948 is about 28638.2951308209. The cubic root of 820151948 is about 936.0479724968.

The spelling of 820151948 in words is "eight hundred twenty million, one hundred fifty-one thousand, nine hundred forty-eight".