1012962816 has 240 divisors, whose sum is σ = 3157927344. Its totient is φ = 311427072.

The previous prime is 1012962791. The next prime is 1012962829. The reversal of 1012962816 is 6182692101.

1012962816 is a `hidden beast` number, since 1 + 0 + 1 + 29 + 628 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5248416 + ... + 5248608.

Almost surely, 2^1012962816 is an apocalyptic number.

1012962816 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 1012962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578963672).

1012962816 is an abundant number, since it is smaller than the sum of its proper divisors (2144964528).

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

1012962816 is a wasteful number, since it uses less digits than its factorization.

1012962816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1012962816 is about 31827.0767743442. The cubic root of 1012962816 is about 1004.3024014616.

The spelling of 1012962816 in words is "one billion, twelve million, nine hundred sixty-two thousand, eight hundred sixteen".