1041600 has 168 divisors, whose sum is σ = 4031488. Its totient is φ = 230400.

The previous prime is 1041583. The next prime is 1041617. The reversal of 1041600 is 61401.

1041600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1041583) and next prime (1041617).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33585 + ... + 33615.

2^1041600 is an apocalyptic number.

1041600 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 1041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015744).

1041600 is an abundant number, since it is smaller than the sum of its proper divisors (2989888).

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

1041600 is a wasteful number, since it uses less digits than its factorization.

1041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1041600 is about 1020.5880657738. The cubic root of 1041600 is about 101.3678706527.

The spelling of 1041600 in words is "one million, forty-one thousand, six hundred".