1037672160 has 192 divisors, whose sum is σ = 3806756352. Its totient is φ = 232667136.

The previous prime is 1037672149. The next prime is 1037672201. The reversal of 1037672160 is 612767301.

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, 175167 + ... + 180993.

It is an arithmetic number, because the mean of its divisors is an integer number (19826856).

Almost surely, 2^1037672160 is an apocalyptic number.

1037672160 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 1037672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903378176).

1037672160 is an abundant number, since it is smaller than the sum of its proper divisors (2769084192).

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

1037672160 is a wasteful number, since it uses less digits than its factorization.

1037672160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1037672160 is about 32212.9191474477. The cubic root of 1037672160 is about 1012.4029182943.

The spelling of 1037672160 in words is "one billion, thirty-seven million, six hundred seventy-two thousand, one hundred sixty".