140006880 has 288 divisors, whose sum is σ = 535508064. Its totient is φ = 34338816.

The previous prime is 140006861. The next prime is 140006891. The reversal of 140006880 is 88600041.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 505302 + ... + 505578.

It is an arithmetic number, because the mean of its divisors is an integer number (1859403).

Almost surely, 2^140006880 is an apocalyptic number.

140006880 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 140006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267754032).

140006880 is an abundant number, since it is smaller than the sum of its proper divisors (395501184).

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

140006880 is a wasteful number, since it uses less digits than its factorization.

140006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 140006880 is about 11832.4502956911. The cubic root of 140006880 is about 519.2579158456.

The spelling of 140006880 in words is "one hundred forty million, six thousand, eight hundred eighty".