11378640 has 160 divisors (see below), whose sum is σ = 43497216. Its totient is φ = 2396160.

The previous prime is 11378599. The next prime is 11378641. The reversal of 11378640 is 4687311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11378598 and 11378607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11378641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21580 + ... + 22100.

Almost surely, 2^11378640 is an apocalyptic number.

11378640 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 11378640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21748608).

11378640 is an abundant number, since it is smaller than the sum of its proper divisors (32118576).

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

11378640 is a wasteful number, since it uses less digits than its factorization.

11378640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 11378640 is about 3373.2239771471. The cubic root of 11378640 is about 224.9210587264.

The spelling of 11378640 in words is "eleven million, three hundred seventy-eight thousand, six hundred forty".