96877440 has 288 divisors, whose sum is σ = 370351800. Its totient is φ = 23316480.

The previous prime is 96877427. The next prime is 96877453. The reversal of 96877440 is 4477869.

It is an interprime number because it is at equal distance from previous prime (96877427) and next prime (96877453).

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 696891 + ... + 697029.

Almost surely, 2^96877440 is an apocalyptic number.

96877440 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 96877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185175900).

96877440 is an abundant number, since it is smaller than the sum of its proper divisors (273474360).

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

96877440 is a wasteful number, since it uses less digits than its factorization.

96877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 96877440 is about 9842.6337938582. The cubic root of 96877440 is about 459.2764933860.

The spelling of 96877440 in words is "ninety-six million, eight hundred seventy-seven thousand, four hundred forty".