47761364 has 48 divisors (see below), whose sum is σ = 106485120. Its totient is φ = 18247680.

The previous prime is 47761361. The next prime is 47761367. The reversal of 47761364 is 46316774.

It is an interprime number because it is at equal distance from previous prime (47761361) and next prime (47761367).

It is a super-2 number, since 2×47761364² = 4562295782280992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47761361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6404 + ... + 11684.

It is an arithmetic number, because the mean of its divisors is an integer number (2218440).

Almost surely, 2^47761364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47761364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53242560).

47761364 is an abundant number, since it is smaller than the sum of its proper divisors (58723756).

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

47761364 is a wasteful number, since it uses less digits than its factorization.

47761364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328 (or 5326 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The square root of 47761364 is about 6910.9597018070. The cubic root of 47761364 is about 362.8208533011.

The spelling of 47761364 in words is "forty-seven million, seven hundred sixty-one thousand, three hundred sixty-four".