1948100 has 108 divisors (see below), whose sum is σ = 5541312. Its totient is φ = 580800.

The previous prime is 1948099. The next prime is 1948109. The reversal of 1948100 is 18491.

It is a super-2 number, since 2×1948100² = 7590187220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84689 + ... + 84711.

2^1948100 is an apocalyptic number.

1948100 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 1948100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770656).

1948100 is an abundant number, since it is smaller than the sum of its proper divisors (3593212).

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

1948100 is a wasteful number, since it uses less digits than its factorization.

1948100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1948100 is about 1395.7435294494. The cubic root of 1948100 is about 124.8927079336.

It can be divided in two parts, 1948 and 100, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 1948100 in words is "one million, nine hundred forty-eight thousand, one hundred".