140993680 has 160 divisors (see below), whose sum is σ = 373190400. Its totient is φ = 49268736.

The previous prime is 140993669. The next prime is 140993681. The reversal of 140993680 is 86399041.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (140993681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293466 + ... + 1293574.

It is an arithmetic number, because the mean of its divisors is an integer number (2332440).

Almost surely, 2^140993680 is an apocalyptic number.

140993680 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 140993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186595200).

140993680 is an abundant number, since it is smaller than the sum of its proper divisors (232196720).

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

140993680 is a wasteful number, since it uses less digits than its factorization.

140993680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 140993680 is about 11874.0759640487. The cubic root of 140993680 is about 520.4750097428.

The spelling of 140993680 in words is "one hundred forty million, nine hundred ninety-three thousand, six hundred eighty".