1948777320 has 256 divisors, whose sum is σ = 7116595200. Its totient is φ = 416747520.

The previous prime is 1948777301. The next prime is 1948777339. The reversal of 1948777320 is 237778491.

It is an interprime number because it is at equal distance from previous prime (1948777301) and next prime (1948777339).

It is a self number, because there is not a number n which added to its sum of digits gives 1948777320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3412635 + ... + 3413205.

It is an arithmetic number, because the mean of its divisors is an integer number (27799200).

Almost surely, 2^1948777320 is an apocalyptic number.

1948777320 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 1948777320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558297600).

1948777320 is an abundant number, since it is smaller than the sum of its proper divisors (5167817880).

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

1948777320 is a wasteful number, since it uses less digits than its factorization.

1948777320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 1948777320 is about 44144.9580359977. The cubic root of 1948777320 is about 1249.0718058685.

The spelling of 1948777320 in words is "one billion, nine hundred forty-eight million, seven hundred seventy-seven thousand, three hundred twenty".