1037668632 has 256 divisors, whose sum is σ = 3561062400. Its totient is φ = 243233280.

The previous prime is 1037668601. The next prime is 1037668637. The reversal of 1037668632 is 2368667301.

1037668632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1037668637) 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, 1128669 + ... + 1129587.

It is an arithmetic number, because the mean of its divisors is an integer number (13910400).

Almost surely, 2^1037668632 is an apocalyptic number.

1037668632 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 1037668632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780531200).

1037668632 is an abundant number, since it is smaller than the sum of its proper divisors (2523393768).

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

1037668632 is a wasteful number, since it uses less digits than its factorization.

1037668632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 1037668632 is about 32212.8643867632. The cubic root of 1037668632 is about 1012.4017709308.

The spelling of 1037668632 in words is "one billion, thirty-seven million, six hundred sixty-eight thousand, six hundred thirty-two".