10519040 has 80 divisors (see below), whose sum is σ = 28873152. Its totient is φ = 3600384.

The previous prime is 10519037. The next prime is 10519043. The reversal of 10519040 is 4091501.

It is an interprime number because it is at equal distance from previous prime (10519037) and next prime (10519043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10519040² = 221300405043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10519043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17627 + ... + 18213.

Almost surely, 2^10519040 is an apocalyptic number.

10519040 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 10519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436576).

10519040 is an abundant number, since it is smaller than the sum of its proper divisors (18354112).

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

10519040 is an frugal number, since it uses more digits than its factorization.

10519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 10519040 is about 3243.3069543292. The cubic root of 10519040 is about 219.1082358720.

The spelling of 10519040 in words is "ten million, five hundred nineteen thousand, forty".