966537180 has 72 divisors (see below), whose sum is σ = 3350666592. Its totient is φ = 220922496.

The previous prime is 966537149. The next prime is 966537269. The reversal of 966537180 is 81735669.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382287 + ... + 384806.

It is an arithmetic number, because the mean of its divisors is an integer number (46537036).

Almost surely, 2^966537180 is an apocalyptic number.

966537180 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

966537180 is an abundant number, since it is smaller than the sum of its proper divisors (2384129412).

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

966537180 is a wasteful number, since it uses less digits than its factorization.

966537180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767115 (or 767110 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 966537180 is about 31089.1810763809. The cubic root of 966537180 is about 988.7189429698.

The spelling of 966537180 in words is "nine hundred sixty-six million, five hundred thirty-seven thousand, one hundred eighty".