47077632 has 216 divisors, whose sum is σ = 163111200. Its totient is φ = 13353984.

The previous prime is 47077609. The next prime is 47077633. The reversal of 47077632 is 23677074.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47077633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338619 + ... + 338757.

Almost surely, 2^47077632 is an apocalyptic number.

47077632 is a gapful number since it is divisible by the number (42) 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 47077632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81555600).

47077632 is an abundant number, since it is smaller than the sum of its proper divisors (116033568).

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

47077632 is a wasteful number, since it uses less digits than its factorization.

47077632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 47077632 is about 6861.3141598385. The cubic root of 47077632 is about 361.0811940256.

The spelling of 47077632 in words is "forty-seven million, seventy-seven thousand, six hundred thirty-two".