190957040 has 80 divisors (see below), whose sum is σ = 471398400. Its totient is φ = 71782656.

The previous prime is 190957027. The next prime is 190957043. The reversal of 190957040 is 40759091.

190957040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×190957040² = 72929182251123200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190957043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107681 + ... + 109439.

It is an arithmetic number, because the mean of its divisors is an integer number (5892480).

Almost surely, 2^190957040 is an apocalyptic number.

190957040 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 190957040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

190957040 is an abundant number, since it is smaller than the sum of its proper divisors (280441360).

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

190957040 is a wasteful number, since it uses less digits than its factorization.

190957040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 190957040 is about 13818.7206354279. The cubic root of 190957040 is about 575.8533416484.

The spelling of 190957040 in words is "one hundred ninety million, nine hundred fifty-seven thousand, forty".