90679680 has 384 divisors, whose sum is σ = 387616320. Its totient is φ = 19021824.

The previous prime is 90679669. The next prime is 90679727. The reversal of 90679680 is 8697609.

It is a tau number, because it is divible by the number of its divisors (384).

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, 524074 + ... + 524246.

Almost surely, 2^90679680 is an apocalyptic number.

90679680 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 90679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193808160).

90679680 is an abundant number, since it is smaller than the sum of its proper divisors (296936640).

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

90679680 is a wasteful number, since it uses less digits than its factorization.

90679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 90679680 is about 9522.5878835535. The cubic root of 90679680 is about 449.2657656142.

The spelling of 90679680 in words is "ninety million, six hundred seventy-nine thousand, six hundred eighty".