11077400 has 48 divisors (see below), whose sum is σ = 26066040. Its totient is φ = 4377600.

The previous prime is 11077397. The next prime is 11077403. The reversal of 11077400 is 477011.

It is an interprime number because it is at equal distance from previous prime (11077397) and next prime (11077403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11077403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19115 + ... + 19685.

Almost surely, 2^11077400 is an apocalyptic number.

11077400 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 11077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033020).

11077400 is an abundant number, since it is smaller than the sum of its proper divisors (14988640).

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

11077400 is a wasteful number, since it uses less digits than its factorization.

11077400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 11077400 is about 3328.2728253555. The cubic root of 11077400 is about 222.9184147920.

The spelling of 11077400 in words is "eleven million, seventy-seven thousand, four hundred".