1936880640 has 176 divisors, whose sum is σ = 6883815360. Its totient is φ = 516464640.

The previous prime is 1936880629. The next prime is 1936880641. The reversal of 1936880640 is 460886391.

It is a super-2 number, since 2×1936880640² = 7503013227213619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1936880641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131235 + ... + 145245.

Almost surely, 2^1936880640 is an apocalyptic number.

1936880640 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 1936880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441907680).

1936880640 is an abundant number, since it is smaller than the sum of its proper divisors (4946934720).

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

1936880640 is a wasteful number, since it uses less digits than its factorization.

1936880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14045 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1936880640 is about 44010.0061349689. The cubic root of 1936880640 is about 1246.5248843432.

The spelling of 1936880640 in words is "one billion, nine hundred thirty-six million, eight hundred eighty thousand, six hundred forty".