1010073600 has 288 divisors, whose sum is σ = 3644663490. Its totient is φ = 267386880.

The previous prime is 1010073593. The next prime is 1010073601. The reversal of 1010073600 is 63700101.

It can be written as a sum of positive squares in 3 ways, for example, as 785793024 + 224280576 = 28032^2 + 14976^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1010073601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7372732 + ... + 7372868.

Almost surely, 2^1010073600 is an apocalyptic number.

1010073600 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 1010073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822331745).

1010073600 is an abundant number, since it is smaller than the sum of its proper divisors (2634589890).

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

1010073600 is an equidigital number, since it uses as much as digits as its factorization.

1010073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1010073600 is about 31781.6550859139. The cubic root of 1010073600 is about 1003.3466540789.

Adding to 1010073600 its reverse (63700101), we get a palindrome (1073773701).

The spelling of 1010073600 in words is "one billion, ten million, seventy-three thousand, six hundred".