13400700 has 72 divisors (see below), whose sum is σ = 40830720. Its totient is φ = 3384000.

The previous prime is 13400693. The next prime is 13400707. The reversal of 13400700 is 700431.

It is an interprime number because it is at equal distance from previous prime (13400693) and next prime (13400707).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13400700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4525 + ... + 6875.

Almost surely, 2^13400700 is an apocalyptic number.

13400700 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 13400700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415360).

13400700 is an abundant number, since it is smaller than the sum of its proper divisors (27430020).

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

13400700 is a wasteful number, since it uses less digits than its factorization.

13400700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 13400700 is about 3660.6966550098. The cubic root of 13400700 is about 237.5249096680.

The spelling of 13400700 in words is "thirteen million, four hundred thousand, seven hundred".