1657670672 has 80 divisors (see below), whose sum is σ = 3773008512. Its totient is φ = 690723840.

The previous prime is 1657670621. The next prime is 1657670687. The reversal of 1657670672 is 2760767561.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2144078 + ... + 2144850.

Almost surely, 2^1657670672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1657670672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886504256).

1657670672 is an abundant number, since it is smaller than the sum of its proper divisors (2115337840).

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

1657670672 is a wasteful number, since it uses less digits than its factorization.

1657670672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 47.

The square root of 1657670672 is about 40714.5019863930. The cubic root of 1657670672 is about 1183.4940657067.

The spelling of 1657670672 in words is "one billion, six hundred fifty-seven million, six hundred seventy thousand, six hundred seventy-two".