19977000 has 64 divisors (see below), whose sum is σ = 62337600. Its totient is φ = 5326400.

The previous prime is 19976947. The next prime is 19977017. The reversal of 19977000 is 77991.

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, 330 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (974025).

Almost surely, 2^19977000 is an apocalyptic number.

19977000 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 19977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31168800).

19977000 is an abundant number, since it is smaller than the sum of its proper divisors (42360600).

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

19977000 is a wasteful number, since it uses less digits than its factorization.

19977000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6683 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 33.

The square root of 19977000 is about 4469.5637371001. The cubic root of 19977000 is about 271.3376690718.

The spelling of 19977000 in words is "nineteen million, nine hundred seventy-seven thousand".