1948320 has 192 divisors, whose sum is σ = 7620480. Its totient is φ = 460800.

The previous prime is 1948313. The next prime is 1948327. The reversal of 1948320 is 238491.

It is an interprime number because it is at equal distance from previous prime (1948313) and next prime (1948327).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1948327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47500 + ... + 47540.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2^1948320 is an apocalyptic number.

1948320 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 1948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

1948320 is an abundant number, since it is smaller than the sum of its proper divisors (5672160).

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

1948320 is a wasteful number, since it uses less digits than its factorization.

1948320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1948320 is about 1395.8223382652. The cubic root of 1948320 is about 124.8974091573.

It can be divided in two parts, 19483 and 20, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 1948320 in words is "one million, nine hundred forty-eight thousand, three hundred twenty".