190679040 has 144 divisors (see below), whose sum is σ = 661178700. Its totient is φ = 50823168.

The previous prime is 190679033. The next prime is 190679051. The reversal of 190679040 is 40976091.

It can be written as a sum of positive squares in 2 ways, for example, as 178062336 + 12616704 = 13344^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 190678986 and 190679004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91126 + ... + 93194.

Almost surely, 2^190679040 is an apocalyptic number.

190679040 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 190679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330589350).

190679040 is an abundant number, since it is smaller than the sum of its proper divisors (470499660).

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

190679040 is a wasteful number, since it uses less digits than its factorization.

190679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 190679040 is about 13808.6581534920. The cubic root of 190679040 is about 575.5737587324.

The spelling of 190679040 in words is "one hundred ninety million, six hundred seventy-nine thousand, forty".