11577890 has 16 divisors (see below), whose sum is σ = 20971008. Its totient is φ = 4602096.

The previous prime is 11577889. The next prime is 11577893. The reversal of 11577890 is 9877511.

It is a super-3 number, since 3×11577890³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11577893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1922 + ... + 5181.

It is an arithmetic number, because the mean of its divisors is an integer number (1310688).

Almost surely, 2^11577890 is an apocalyptic number.

11577890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11577890 is a deficient number, since it is larger than the sum of its proper divisors (9393118).

11577890 is a wasteful number, since it uses less digits than its factorization.

11577890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273.

The product of its (nonzero) digits is 17640, while the sum is 38.

The square root of 11577890 is about 3402.6298652660. The cubic root of 11577890 is about 226.2263245578.

It can be divided in two parts, 11577 and 890, that multiplied together give a triangular number (10303530 = T₄₅₃₉).

The spelling of 11577890 in words is "eleven million, five hundred seventy-seven thousand, eight hundred ninety".