1037537640 has 256 divisors, whose sum is σ = 3617568000. Its totient is φ = 264176640.

The previous prime is 1037537639. The next prime is 1037537647. The reversal of 1037537640 is 467357301.

1037537640 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 5 + 3 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1037537595 and 1037537604.

It is not an unprimeable number, because it can be changed into a prime (1037537647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4917135 + ... + 4917345.

It is an arithmetic number, because the mean of its divisors is an integer number (14131125).

Almost surely, 2^1037537640 is an apocalyptic number.

1037537640 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 1037537640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808784000).

1037537640 is an abundant number, since it is smaller than the sum of its proper divisors (2580030360).

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

1037537640 is a wasteful number, since it uses less digits than its factorization.

1037537640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 1037537640 is about 32210.8310976293. The cubic root of 1037537640 is about 1012.3591683409.

The spelling of 1037537640 in words is "one billion, thirty-seven million, five hundred thirty-seven thousand, six hundred forty".