10642400 has 72 divisors (see below), whose sum is σ = 26576424. Its totient is φ = 4160000.

The previous prime is 10642397. The next prime is 10642417. The reversal of 10642400 is 424601.

It is a super-2 number, since 2×10642400² = 226521355520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42275 + ... + 42525.

It is an arithmetic number, because the mean of its divisors is an integer number (369117).

Almost surely, 2^10642400 is an apocalyptic number.

10642400 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 10642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13288212).

10642400 is an abundant number, since it is smaller than the sum of its proper divisors (15934024).

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

10642400 is a wasteful number, since it uses less digits than its factorization.

10642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 10642400 is about 3262.2691489207. The cubic root of 10642400 is about 219.9614257438.

It can be divided in two parts, 106 and 42400, that multiplied together give a square (4494400 = 2120²).

The spelling of 10642400 in words is "ten million, six hundred forty-two thousand, four hundred".