69956640 has 288 divisors, whose sum is σ = 266653296. Its totient is φ = 16588800.

The previous prime is 69956617. The next prime is 69956669. The reversal of 69956640 is 4665996.

It can be written as a sum of positive squares in 8 ways, for example, as 52012944 + 17943696 = 7212^2 + 4236^2 .

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 47 ways as a sum of consecutive naturals, for example, 692590 + ... + 692690.

Almost surely, 2^69956640 is an apocalyptic number.

69956640 is a gapful number since it is divisible by the number (60) 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 69956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133326648).

69956640 is an abundant number, since it is smaller than the sum of its proper divisors (196696656).

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

69956640 is a wasteful number, since it uses less digits than its factorization.

69956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 69956640 is about 8364.0086083169. The cubic root of 69956640 is about 412.0434176759.

The spelling of 69956640 in words is "sixty-nine million, nine hundred fifty-six thousand, six hundred forty".