993515040 has 144 divisors (see below), whose sum is σ = 3874747968. Its totient is φ = 227086848.

The previous prime is 993515023. The next prime is 993515059. The reversal of 993515040 is 40515399.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 993514986 and 993515004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39202 + ... + 59361.

It is an arithmetic number, because the mean of its divisors is an integer number (26907972).

Almost surely, 2^993515040 is an apocalyptic number.

993515040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

993515040 is an abundant number, since it is smaller than the sum of its proper divisors (2881232928).

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

993515040 is a wasteful number, since it uses less digits than its factorization.

993515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98591 (or 98580 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 993515040 is about 31520.0736039750. The cubic root of 993515040 is about 997.8336570136.

The spelling of 993515040 in words is "nine hundred ninety-three million, five hundred fifteen thousand, forty".