10613400 has 216 divisors, whose sum is σ = 40393620. Its totient is φ = 2298240.

The previous prime is 10613387. The next prime is 10613401. The reversal of 10613400 is 431601.

It is a super-2 number, since 2×10613400² = 225288519120000, which contains 22 as substring.

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 10613400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10613401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 558591 + ... + 558609.

Almost surely, 2^10613400 is an apocalyptic number.

10613400 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 10613400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196810).

10613400 is an abundant number, since it is smaller than the sum of its proper divisors (29780220).

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

10613400 is a wasteful number, since it uses less digits than its factorization.

10613400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10613400 is about 3257.8213579016. The cubic root of 10613400 is about 219.7614494171.

The spelling of 10613400 in words is "ten million, six hundred thirteen thousand, four hundred".