966920760 has 256 divisors, whose sum is σ = 3531024000. Its totient is φ = 233902080.

The previous prime is 966920681. The next prime is 966920777. The reversal of 966920760 is 67029669.

It is a super-2 number, since 2×966920760² = 1869871512237955200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 855876 + ... + 857004.

Almost surely, 2^966920760 is an apocalyptic number.

966920760 is a gapful number since it is divisible by the number (90) 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 966920760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765512000).

966920760 is an abundant number, since it is smaller than the sum of its proper divisors (2564103240).

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

966920760 is a wasteful number, since it uses less digits than its factorization.

966920760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 966920760 is about 31095.3494915236. The cubic root of 966920760 is about 988.8497200232.

The spelling of 966920760 in words is "nine hundred sixty-six million, nine hundred twenty thousand, seven hundred sixty".