1627940160 has 448 divisors, whose sum is σ = 7163043840. Its totient is φ = 338135040.

The previous prime is 1627940147. The next prime is 1627940173. The reversal of 1627940160 is 610497261.

It is an interprime number because it is at equal distance from previous prime (1627940147) and next prime (1627940173).

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 664057 + ... + 666503.

Almost surely, 2^1627940160 is an apocalyptic number.

1627940160 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 1627940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581521920).

1627940160 is an abundant number, since it is smaller than the sum of its proper divisors (5535103680).

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

1627940160 is a wasteful number, since it uses less digits than its factorization.

1627940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1627940160 is about 40347.7404571805. The cubic root of 1627940160 is about 1176.3759730812.

The spelling of 1627940160 in words is "one billion, six hundred twenty-seven million, nine hundred forty thousand, one hundred sixty".