990513040 has 80 divisors (see below), whose sum is σ = 2540730240. Its totient is φ = 356111360.

The previous prime is 990513019. The next prime is 990513049. The reversal of 990513040 is 40315099.

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

It is a super-2 number, since 2×990513040² = 1962232164820083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 990512993 and 990513011.

It is not an unprimeable number, because it can be changed into a prime (990513049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71997 + ... + 84643.

It is an arithmetic number, because the mean of its divisors is an integer number (31759128).

Almost surely, 2^990513040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270365120).

990513040 is an abundant number, since it is smaller than the sum of its proper divisors (1550217200).

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

990513040 is a wasteful number, since it uses less digits than its factorization.

990513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12760 (or 12754 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 990513040 is about 31472.4171299251. The cubic root of 990513040 is about 996.8276266898.

The spelling of 990513040 in words is "nine hundred ninety million, five hundred thirteen thousand, forty".