1948016070 has 288 divisors, whose sum is σ = 6924022560. Its totient is φ = 373524480.

The previous prime is 1948016051. The next prime is 1948016087. The reversal of 1948016070 is 706108491.

1948016070 is a `hidden beast` number, since 1 + 9 + 48 + 0 + 1 + 607 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 629086 + ... + 632174.

It is an arithmetic number, because the mean of its divisors is an integer number (24041745).

Almost surely, 2^1948016070 is an apocalyptic number.

1948016070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948016070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462011280).

1948016070 is an abundant number, since it is smaller than the sum of its proper divisors (4976006490).

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

1948016070 is a wasteful number, since it uses less digits than its factorization.

1948016070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1948016070 is about 44136.3350313548. The cubic root of 1948016070 is about 1248.9091432355.

The spelling of 1948016070 in words is "one billion, nine hundred forty-eight million, sixteen thousand, seventy".