1957214000 has 80 divisors (see below), whose sum is σ = 5408659776. Its totient is φ = 671040000.

The previous prime is 1957213991. The next prime is 1957214087. The reversal of 1957214000 is 4127591.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55901 + ... + 83900.

Almost surely, 2^1957214000 is an apocalyptic number.

1957214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1957214000 is an abundant number, since it is smaller than the sum of its proper divisors (3451445776).

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

1957214000 is a wasteful number, since it uses less digits than its factorization.

1957214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139831 (or 139815 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 1957214000 is about 44240.4113904923. The cubic root of 1957214000 is about 1250.8717119533.

The spelling of 1957214000 in words is "one billion, nine hundred fifty-seven million, two hundred fourteen thousand".