1976663040 has 176 divisors, whose sum is σ = 6897571200. Its totient is φ = 479150080.

The previous prime is 1976662999. The next prime is 1976663047. The reversal of 1976663040 is 403666791.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 1976662983 and 1976663001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1976663047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163111 + ... + 174809.

Almost surely, 2^1976663040 is an apocalyptic number.

1976663040 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 1976663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448785600).

1976663040 is an abundant number, since it is smaller than the sum of its proper divisors (4920908160).

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

1976663040 is a wasteful number, since it uses less digits than its factorization.

1976663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11738 (or 11720 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 1976663040 is about 44459.6788112555. The cubic root of 1976663040 is about 1255.0014105580.

The spelling of 1976663040 in words is "one billion, nine hundred seventy-six million, six hundred sixty-three thousand, forty".