1010826432 has 448 divisors, whose sum is σ = 3792199680. Its totient is φ = 256435200.

The previous prime is 1010826431. The next prime is 1010826437. The reversal of 1010826432 is 2346280101.

1010826432 is a `hidden beast` number, since 1 + 0 + 10 + 8 + 2 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1010826396 and 1010826405.

It is not an unprimeable number, because it can be changed into a prime (1010826431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9446923 + ... + 9447029.

Almost surely, 2^1010826432 is an apocalyptic number.

1010826432 is a gapful number since it is divisible by the number (12) 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 1010826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896099840).

1010826432 is an abundant number, since it is smaller than the sum of its proper divisors (2781373248).

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

1010826432 is a wasteful number, since it uses less digits than its factorization.

1010826432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1010826432 is about 31793.4966935064. The cubic root of 1010826432 is about 1003.5958649236.

The spelling of 1010826432 in words is "one billion, ten million, eight hundred twenty-six thousand, four hundred thirty-two".