104633640 has 256 divisors, whose sum is σ = 381024000. Its totient is φ = 25436160.

The previous prime is 104633629. The next prime is 104633689. The reversal of 104633640 is 46336401.

104633640 is a `hidden beast` number, since 10 + 4 + 6 + 3 + 3 + 640 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 752691 + ... + 752829.

It is an arithmetic number, because the mean of its divisors is an integer number (1488375).

Almost surely, 2^104633640 is an apocalyptic number.

104633640 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 104633640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

104633640 is an abundant number, since it is smaller than the sum of its proper divisors (276390360).

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

104633640 is a wasteful number, since it uses less digits than its factorization.

104633640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 104633640 is about 10229.0586077117. The cubic root of 104633640 is about 471.2200683637.

The spelling of 104633640 in words is "one hundred four million, six hundred thirty-three thousand, six hundred forty".