70896000 has 256 divisors, whose sum is σ = 269867520. Its totient is φ = 16128000.

The previous prime is 70895989. The next prime is 70896013. The reversal of 70896000 is 69807.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335895 + ... + 336105.

It is an arithmetic number, because the mean of its divisors is an integer number (1054170).

Almost surely, 2^70896000 is an apocalyptic number.

70896000 is a gapful number since it is divisible by the number (70) 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 70896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134933760).

70896000 is an abundant number, since it is smaller than the sum of its proper divisors (198971520).

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

70896000 is a wasteful number, since it uses less digits than its factorization.

70896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 70896000 is about 8419.9762469974. The cubic root of 70896000 is about 413.8794953718.

The spelling of 70896000 in words is "seventy million, eight hundred ninety-six thousand".