1977947136 has 264 divisors, whose sum is σ = 6322773600. Its totient is φ = 590561280.

The previous prime is 1977947131. The next prime is 1977947159. The reversal of 1977947136 is 6317497791.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977947131) 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, 11049895 + ... + 11050073.

It is an arithmetic number, because the mean of its divisors is an integer number (23949900).

Almost surely, 2^1977947136 is an apocalyptic number.

1977947136 is a gapful number since it is divisible by the number (16) 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 1977947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161386800).

1977947136 is an abundant number, since it is smaller than the sum of its proper divisors (4344826464).

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

1977947136 is a wasteful number, since it uses less digits than its factorization.

1977947136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The square root of 1977947136 is about 44474.1175966427. The cubic root of 1977947136 is about 1255.2731131559.

The spelling of 1977947136 in words is "one billion, nine hundred seventy-seven million, nine hundred forty-seven thousand, one hundred thirty-six".