1012924736 has 56 divisors (see below), whose sum is σ = 2136577896. Its totient is φ = 474808320.

The previous prime is 1012924723. The next prime is 1012924747. The reversal of 1012924736 is 6374292101.

It can be written as a sum of positive squares in 4 ways, for example, as 226683136 + 786241600 = 15056^2 + 28040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1012924696 and 1012924705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299696 + ... + 303056.

Almost surely, 2^1012924736 is an apocalyptic number.

1012924736 is a gapful number since it is divisible by the number (16) 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 1012924736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068288948).

1012924736 is an abundant number, since it is smaller than the sum of its proper divisors (1123653160).

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

1012924736 is a wasteful number, since it uses less digits than its factorization.

1012924736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 1012924736 is about 31826.4785359612. The cubic root of 1012924736 is about 1004.2898164933.

The spelling of 1012924736 in words is "one billion, twelve million, nine hundred twenty-four thousand, seven hundred thirty-six".