1010961600 has 336 divisors, whose sum is σ = 3714512256. Its totient is φ = 238592000.

The previous prime is 1010961577. The next prime is 1010961613. The reversal of 1010961600 is 61690101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2164567 + ... + 2165033.

It is an arithmetic number, because the mean of its divisors is an integer number (11055096).

Almost surely, 2^1010961600 is an apocalyptic number.

1010961600 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 1010961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857256128).

1010961600 is an abundant number, since it is smaller than the sum of its proper divisors (2703550656).

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

1010961600 is a wasteful number, since it uses less digits than its factorization.

1010961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1010961600 is about 31795.6223401902. The cubic root of 1010961600 is about 1003.6405966387.

The spelling of 1010961600 in words is "one billion, ten million, nine hundred sixty-one thousand, six hundred".