140084640 has 168 divisors, whose sum is σ = 496611108. Its totient is φ = 37324800.

The previous prime is 140084639. The next prime is 140084699. The reversal of 140084640 is 46480041.

140084640 is a `hidden beast` number, since 14 + 0 + 0 + 8 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114318864 + 25765776 = 10692^2 + 5076^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116040 + ... + 117240.

Almost surely, 2^140084640 is an apocalyptic number.

140084640 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 140084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248305554).

140084640 is an abundant number, since it is smaller than the sum of its proper divisors (356526468).

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

140084640 is an equidigital number, since it uses as much as digits as its factorization.

140084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 140084640 is about 11835.7357185770. The cubic root of 140084640 is about 519.3540302237.

The spelling of 140084640 in words is "one hundred forty million, eighty-four thousand, six hundred forty".