1612631160 has 384 divisors, whose sum is σ = 6461337600. Its totient is φ = 356348160.

The previous prime is 1612631149. The next prime is 1612631171. The reversal of 1612631160 is 611362161.

1612631160 is a `hidden beast` number, since 1 + 6 + 12 + 631 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1612631149) and next prime (1612631171).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1640029 + ... + 1641011.

It is an arithmetic number, because the mean of its divisors is an integer number (16826400).

Almost surely, 2^1612631160 is an apocalyptic number.

1612631160 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 1612631160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230668800).

1612631160 is an abundant number, since it is smaller than the sum of its proper divisors (4848706440).

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

1612631160 is a wasteful number, since it uses less digits than its factorization.

1612631160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1612631160 is about 40157.5791103000. The cubic root of 1612631160 is about 1172.6768427107.

The spelling of 1612631160 in words is "one billion, six hundred twelve million, six hundred thirty-one thousand, one hundred sixty".