947975616 has 224 divisors, whose sum is σ = 3218688000. Its totient is φ = 267992064.

The previous prime is 947975551. The next prime is 947975617. The reversal of 947975616 is 616579749.

947975616 is a `hidden beast` number, since 9 + 4 + 79 + 7 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2857680) is a multiple of the sum of its prime divisors (840).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947975617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1318105 + ... + 1318823.

Almost surely, 2^947975616 is an apocalyptic number.

947975616 is a gapful number since it is divisible by the number (96) 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 947975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609344000).

947975616 is an abundant number, since it is smaller than the sum of its proper divisors (2270712384).

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

947975616 is a wasteful number, since it uses less digits than its factorization.

947975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 840 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 947975616 is about 30789.2126563834. The cubic root of 947975616 is about 982.3488072225.

The spelling of 947975616 in words is "nine hundred forty-seven million, nine hundred seventy-five thousand, six hundred sixteen".