1381632000 has 384 divisors, whose sum is σ = 5274097920. Its totient is φ = 314572800.

The previous prime is 1381631989. The next prime is 1381632023. The reversal of 1381632000 is 2361831.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375872 + ... + 5376128.

It is an arithmetic number, because the mean of its divisors is an integer number (13734630).

Almost surely, 2^1381632000 is an apocalyptic number.

1381632000 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 1381632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637048960).

1381632000 is an abundant number, since it is smaller than the sum of its proper divisors (3892465920).

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

1381632000 is an equidigital number, since it uses as much as digits as its factorization.

1381632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1381632000 is about 37170.3107331644. The cubic root of 1381632000 is about 1113.7749890158.

Adding to 1381632000 its reverse (2361831), we get a palindrome (1383993831).

The spelling of 1381632000 in words is "one billion, three hundred eighty-one million, six hundred thirty-two thousand".