1948093680 has 320 divisors, whose sum is σ = 6773816448. Its totient is φ = 460062720.

The previous prime is 1948093673. The next prime is 1948093703. The reversal of 1948093680 is 863908491.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 12408162 + ... + 12408318.

Almost surely, 2^1948093680 is an apocalyptic number.

1948093680 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 1948093680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386908224).

1948093680 is an abundant number, since it is smaller than the sum of its proper divisors (4825722768).

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

1948093680 is a wasteful number, since it uses less digits than its factorization.

1948093680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1948093680 is about 44137.2142301709. The cubic root of 1948093680 is about 1248.9257287508.

The spelling of 1948093680 in words is "one billion, nine hundred forty-eight million, ninety-three thousand, six hundred eighty".