88079040 has 336 divisors, whose sum is σ = 368027712. Its totient is φ = 18874368.

The previous prime is 88079039. The next prime is 88079053. The reversal of 88079040 is 4097088.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88078986 and 88079004.

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, 342592 + ... + 342848.

Almost surely, 2^88079040 is an apocalyptic number.

88079040 is a gapful number since it is divisible by the number (80) 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 88079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184013856).

88079040 is an abundant number, since it is smaller than the sum of its proper divisors (279948672).

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

88079040 is a wasteful number, since it uses less digits than its factorization.

88079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 88079040 is about 9385.0434202512. The cubic root of 88079040 is about 444.9291474958.

The spelling of 88079040 in words is "eighty-eight million, seventy-nine thousand, forty".