47642040 has 128 divisors (see below), whose sum is σ = 164044800. Its totient is φ = 12286080.

The previous prime is 47642033. The next prime is 47642053. The reversal of 47642040 is 4024674.

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

It is a junction number, because it is equal to n+sod(n) for n = 47641995 and 47642013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32769 + ... + 34191.

It is an arithmetic number, because the mean of its divisors is an integer number (1281600).

Almost surely, 2^47642040 is an apocalyptic number.

47642040 is a gapful number since it is divisible by the number (40) 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 47642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82022400).

47642040 is an abundant number, since it is smaller than the sum of its proper divisors (116402760).

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

47642040 is a wasteful number, since it uses less digits than its factorization.

47642040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 47642040 is about 6902.3213486479. The cubic root of 47642040 is about 362.5184516965.

The spelling of 47642040 in words is "forty-seven million, six hundred forty-two thousand, forty".