11461590 has 144 divisors (see below), whose sum is σ = 36492768. Its totient is φ = 2483712.

The previous prime is 11461577. The next prime is 11461603. The reversal of 11461590 is 9516411.

11461590 is a `hidden beast` number, since 1 + 14 + 61 + 590 = 666.

It is an interprime number because it is at equal distance from previous prime (11461577) and next prime (11461603).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101374 + ... + 101486.

It is an arithmetic number, because the mean of its divisors is an integer number (253422).

Almost surely, 2^11461590 is an apocalyptic number.

11461590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11461590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18246384).

11461590 is an abundant number, since it is smaller than the sum of its proper divisors (25031178).

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

11461590 is a wasteful number, since it uses less digits than its factorization.

11461590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11461590 is about 3385.4970093031. The cubic root of 11461590 is about 225.4662922430.

The spelling of 11461590 in words is "eleven million, four hundred sixty-one thousand, five hundred ninety".