1008215040 has 176 divisors, whose sum is σ = 3685779072. Its totient is φ = 230424576.

The previous prime is 1008215009. The next prime is 1008215053. The reversal of 1008215040 is 405128001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1008214998 and 1008215016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102832 + ... + 112208.

Almost surely, 2^1008215040 is an apocalyptic number.

1008215040 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 1008215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842889536).

1008215040 is an abundant number, since it is smaller than the sum of its proper divisors (2677564032).

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

1008215040 is an equidigital number, since it uses as much as digits as its factorization.

1008215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1008215040 is about 31752.4021138559. The cubic root of 1008215040 is about 1002.7308821606.

The spelling of 1008215040 in words is "one billion, eight million, two hundred fifteen thousand, forty".