11402640 has 80 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 3040128.

The previous prime is 11402627. The next prime is 11402653. The reversal of 11402640 is 4620411.

It is an interprime number because it is at equal distance from previous prime (11402627) and next prime (11402653).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480 + ... + 4799.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 2^11402640 is an apocalyptic number.

11402640 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 11402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

11402640 is an abundant number, since it is smaller than the sum of its proper divisors (27880560).

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

11402640 is a wasteful number, since it uses less digits than its factorization.

11402640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5301 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11402640 is about 3376.7795308548. The cubic root of 11402640 is about 225.0790833115.

The spelling of 11402640 in words is "eleven million, four hundred two thousand, six hundred forty".