1082247600 has 240 divisors, whose sum is σ = 4171201280. Its totient is φ = 234316800.

The previous prime is 1082247563. The next prime is 1082247601. The reversal of 1082247600 is 67422801.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1082247601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156210 + ... + 162990.

Almost surely, 2^1082247600 is an apocalyptic number.

1082247600 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 1082247600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085600640).

1082247600 is an abundant number, since it is smaller than the sum of its proper divisors (3088953680).

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

1082247600 is a wasteful number, since it uses less digits than its factorization.

1082247600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1082247600 is about 32897.5318223115. The cubic root of 1082247600 is about 1026.6968048348.

The spelling of 1082247600 in words is "one billion, eighty-two million, two hundred forty-seven thousand, six hundred".