83904510240 has 144 divisors (see below), whose sum is σ = 292983058368. Its totient is φ = 21854181888.

The previous prime is 83904510223. The next prime is 83904510257. The reversal of 83904510240 is 4201540938.

83904510240 is a `hidden beast` number, since 83 + 90 + 451 + 0 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (83904510223) and next prime (83904510257).

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

It is a super-2 number, since 2×83904510240² (a number of 23 digits) contains 22 as substring.

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 = 83904510195 and 83904510204.

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, 615604 + ... + 739443.

It is an arithmetic number, because the mean of its divisors is an integer number (2034604572).

Almost surely, 2^83904510240 is an apocalyptic number.

83904510240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83904510240 is an abundant number, since it is smaller than the sum of its proper divisors (209078548128).

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

83904510240 is a wasteful number, since it uses less digits than its factorization.

83904510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355111 (or 1355100 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 83904510240 in words is "eighty-three billion, nine hundred four million, five hundred ten thousand, two hundred forty".