1602948000 has 288 divisors, whose sum is σ = 5465154240. Its totient is φ = 410688000.

The previous prime is 1602947981. The next prime is 1602948007. The reversal of 1602948000 is 8492061.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1602948007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11531931 + ... + 11532069.

It is an arithmetic number, because the mean of its divisors is an integer number (18976230).

Almost surely, 2^1602948000 is an apocalyptic number.

1602948000 is a gapful number since it is divisible by the number (10) 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 1602948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732577120).

1602948000 is an abundant number, since it is smaller than the sum of its proper divisors (3862206240).

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

1602948000 is a wasteful number, since it uses less digits than its factorization.

1602948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1602948000 is about 40036.8330415881. The cubic root of 1602948000 is about 1170.3249882506.

The spelling of 1602948000 in words is "one billion, six hundred two million, nine hundred forty-eight thousand".