1030890240 has 360 divisors, whose sum is σ = 3772185648. Its totient is φ = 268738560.

The previous prime is 1030890209. The next prime is 1030890253. The reversal of 1030890240 is 420980301.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6324399 + ... + 6324561.

Almost surely, 2^1030890240 is an apocalyptic number.

1030890240 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 1030890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886092824).

1030890240 is an abundant number, since it is smaller than the sum of its proper divisors (2741295408).

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

1030890240 is an equidigital number, since it uses as much as digits as its factorization.

1030890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1030890240 is about 32107.4795024462. The cubic root of 1030890240 is about 1010.1925065205.

The spelling of 1030890240 in words is "one billion, thirty million, eight hundred ninety thousand, two hundred forty".