1957917672 has 96 divisors (see below), whose sum is σ = 5421686400. Its totient is φ = 638157312.

The previous prime is 1957917631. The next prime is 1957917673. The reversal of 1957917672 is 2767197591.

It is a happy number.

1957917672 is a `hidden beast` number, since 1 + 9 + 579 + 1 + 7 + 67 + 2 = 666.

It is a super-2 number, since 2×1957917672² = 7666883220659799168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1957917673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607008 + ... + 610224.

It is an arithmetic number, because the mean of its divisors is an integer number (56475900).

Almost surely, 2^1957917672 is an apocalyptic number.

1957917672 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 1957917672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710843200).

1957917672 is an abundant number, since it is smaller than the sum of its proper divisors (3463768728).

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

1957917672 is a wasteful number, since it uses less digits than its factorization.

1957917672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3408 counting only the distinct ones).

The product of its digits is 1666980, while the sum is 54.

The square root of 1957917672 is about 44248.3634951622. The cubic root of 1957917672 is about 1251.0216015301.

The spelling of 1957917672 in words is "one billion, nine hundred fifty-seven million, nine hundred seventeen thousand, six hundred seventy-two".