1870864632 has 384 divisors, whose sum is σ = 6586245120. Its totient is φ = 466560000.

The previous prime is 1870864609. The next prime is 1870864661. The reversal of 1870864632 is 2364680781.

1870864632 is a `hidden beast` number, since 1 + 8 + 7 + 0 + 8 + 6 + 4 + 632 = 666.

It is a super-3 number, since 3×1870864632³ (a number of 29 digits) contains 333 as substring.

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, 12389757 + ... + 12389907.

It is an arithmetic number, because the mean of its divisors is an integer number (17151680).

Almost surely, 2^1870864632 is an apocalyptic number.

1870864632 is a gapful number since it is divisible by the number (12) 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 1870864632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293122560).

1870864632 is an abundant number, since it is smaller than the sum of its proper divisors (4715380488).

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

1870864632 is a wasteful number, since it uses less digits than its factorization.

1870864632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1870864632 is about 43253.4927144618. The cubic root of 1870864632 is about 1232.1988192510.

The spelling of 1870864632 in words is "one billion, eight hundred seventy million, eight hundred sixty-four thousand, six hundred thirty-two".