88921840 has 80 divisors (see below), whose sum is σ = 238859712. Its totient is φ = 30154752.

The previous prime is 88921813. The next prime is 88921853. The reversal of 88921840 is 4812988.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 88921793 and 88921802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53502 + ... + 55138.

Almost surely, 2^88921840 is an apocalyptic number.

88921840 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 88921840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119429856).

88921840 is an abundant number, since it is smaller than the sum of its proper divisors (149937872).

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

88921840 is a wasteful number, since it uses less digits than its factorization.

88921840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 88921840 is about 9429.8377504600. The cubic root of 88921840 is about 446.3437729741.

The spelling of 88921840 in words is "eighty-eight million, nine hundred twenty-one thousand, eight hundred forty".