1890423360 has 672 divisors, whose sum is σ = 8094707712. Its totient is φ = 410572800.

The previous prime is 1890423343. The next prime is 1890423389. The reversal of 1890423360 is 633240981.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12519285 + ... + 12519435.

It is an arithmetic number, because the mean of its divisors is an integer number (12045696).

Almost surely, 2^1890423360 is an apocalyptic number.

1890423360 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 1890423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047353856).

1890423360 is an abundant number, since it is smaller than the sum of its proper divisors (6204284352).

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

1890423360 is a wasteful number, since it uses less digits than its factorization.

1890423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1890423360 is about 43478.9990685158. Note that the first 3 decimals coincide. The cubic root of 1890423360 is about 1236.4778998412.

The spelling of 1890423360 in words is "one billion, eight hundred ninety million, four hundred twenty-three thousand, three hundred sixty".