1632887740 has 144 divisors (see below), whose sum is σ = 4202906400. Its totient is φ = 529182720.

The previous prime is 1632887713. The next prime is 1632887741. The reversal of 1632887740 is 477882361.

It is a super-3 number, since 3×1632887740³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1632887741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 780616 + ... + 782704.

It is an arithmetic number, because the mean of its divisors is an integer number (29186850).

Almost surely, 2^1632887740 is an apocalyptic number.

1632887740 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 1632887740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101453200).

1632887740 is an abundant number, since it is smaller than the sum of its proper divisors (2570018660).

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

1632887740 is a wasteful number, since it uses less digits than its factorization.

1632887740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 1632887740 is about 40409.0056794275. The cubic root of 1632887740 is about 1177.5665016842.

The spelling of 1632887740 in words is "one billion, six hundred thirty-two million, eight hundred eighty-seven thousand, seven hundred forty".